The Quakers coasted after leading 43-16 at halftime. Ryan Betley and Caleb Wood finished with 13 points each.
La Salle beat Penn in two overtimes, but both squads looked at how this one went to 50 minutes.
The Explorers' starting guard scored eight of his 12 points in the second extra period at the Palestra.
The Quakers, despite having three league losses, remain in the Ivy League title picture heading into Saturday's game at Harvard.
Penn's stretch run last season was no mirage. They lost at Harvard by 10 in February and won by three in March.
The Crimson haven't won the Ivy League since their four-year run from 2012 through 2015 but their talented young players have made them the pre-season favorite.
A.J. Brodeur made second-team All-Ivy last season as a freshman. Ryan Betley sat out his first nine games with a broken bone in his shooting hand but sparked Penn's late-season surge.
Penn will play Villanova at the Jake Nevin Field House and at Dayton, but they also have a nine-game homestand in the middle of their schedule.
Penn, winner of six of its last eight games last season, comes back feeling it can contend for an Ivy League tournament berth again.
For as turbulent as this season has been at Penn, Saturday's win will live long in the program's memory.
Penn football will honor its 1982, 2002 and 2012 teams on the anniversaries of their Ivy League titles.
Betley has three more seasons to help take the Quakers where they always used to be.
Taking a look at the matchup between Penn and Brown (both 2-4, 0-3 in the Ivy League) Saturday afternoon in Providence.