It’s not easy to put a dollar figure on Hollywood lore, even when the piece of it is real estate. But, priceless history aside, $7.55 million seems about right. That’s what Barbara Sinatra’s estate is asking for her penthouse on what is known as L.A.’s “Millionaire Mile” or the Wilshire Corridor.

The collection of prestigious high-rises amassed along this major east-west thoroughfare has long been a spot for glitterati to perch when they land in town.

Barbara Sinatra, widowed and seeking a more secure residence after being robbed in Beverly Hills, found her way to this Westwood address a few years following entertainer Frank Sinatra’s death in 1998. The two had been married 22 years when the legendary singer passed. It was his fourth marriage, her third.

Penthouse A, at 10560 Wilshire Blvd., became her Westwood residence. When she wasn’t at her beach house in Malibu, or tending to her center for abused children from her base in Rancho Mirage, the former model and Vegas showgirl could be found at the 5,600-square-foot residence, sometimes hosting a poker game.

Double doors open to a large living space where ample seating surrounds a marble fireplace. The window-lined corner room reveals the city, ocean and mountain views that Barbara Sinatra and her A-list guests took in.

The great room is also spacious enough to accommodate a grand piano, a built-in bar and a cocktail area. A glass door closes off a red library lined with shelves.

The formal dining room has access to an atrium and lounge area.

In the kitchen, a center island provides ample prep and cooking space, while a peninsula creates a breakfast bar. Black marble covers the countertops.

The primary bedroom suite features two marble-clad bathrooms, dual walk-in closets, a fireplace and an outdoor terrace. Including two guest bedrooms and staff quarters, with a separate entrance, there are four bedrooms and four bathrooms.

Sliding glass doors open to deck and balcony space throughout the unit.

The full-service building provides 24-hour doorman and valet service, a concierge, a gym, a swimming pool, a sauna and a spa.

Leonard Rabinowitz, Linda May, Jack Friedkin and Rick Hilton of Hilton & Hyland, a founding member of Forbes Global Properties, are the listing agents for the condominium, which tops the Ten Five Sixty building. The 22 floors, anchored by a fountain entrance and grand lobby, contain some 108 units.