Last Friday, police in Glastonbury, Connecticut busted 71-YEAR-OLD Sygun Liebhart of Westport, Connecticut for prostitution.

--They found her on the website Backpage.com, which has basically replaced Craigslist as the go-to spot for prostitutes.  She was advertising herself in the escort section under the name "Lola."  Which IS sexier than Sygun.

--Her ad was titled, quote, "Older is Better" and said, quote, "savor the charms of maturity and submit yourself to sensuous abandon in the arms of a genuine cougar."  It listed her age as 60 . . . and included LINGERIE and even NUDE photos.

--She met an undercover cop at a hotel and agreed to have sex for money.  She was arrested for prostitution.

--From her mugshot, you wouldn't guess she was 71 . . . and ESPECIALLY not a 71-year-old prostitute who'd lived that hard prostitute life.  She looks kind of like a grandmotherly version of Little Orphan Annie.

(Glastonbury Patch / The Smoking Gun)