Announcing that she'll be part of next month's issue, Scarlett said: "I'm very proud to be a part of the March/April issue of Playboy".
Hefner is the youngest son of Playboy founder Hugh, and, at 25, is the Chief Creative Founder of the magazine. "I penned a short essay along with my pictorial titled, 'The Feminist Mystique, '" Scarlett wrote.
"A big thank you to @Playboy, the creative team, and @cooperhefner for such a unique opportunity". After a year of banning full-frontal nudity from its pages, the magazine is making its comeback with the tagline "Naked is normal". The issue is the first to feature fully nude portraits after the magazine removed nudity past year.
"This is a remarkably special moment personally and professionally that I get to share this issue of Playboy magazine with my Dad, as well as with readers", said Cooper. "Today, we're taking our identity back and rediscovering who we are".
The legendary Playboy magazine will again portray nude models on the cover of its March/April 2017 issue.
According to Us Weekly, Cooper flew with Scarlett to her native London so he could ask for her father's permission before popping the question on Tuesday.
Cooper and his brother Marston, 24, were born to Hefner's second wife Kimberley Conrad, a former Playmate of the Year, whom he divorced in 2010 after 21 years of marriage.
Byrne, known for playing Slytherin student Pansy Parkinson in the series' sixth installment, Harry Potter And The Half-Blood Prince, shared a revealing image of herself in black and white on Instagram.