DePaul (24-6, 15-3) is seeded No. 1 in the March 8-11 Big East Conference tournament and claimed its first conference regular-season championship with wins over Villanova and St. John's last week.
DePaul opened with a 9-2 run capped by a Jasmine Penny layup, then led 47-36 at halftime after an 8-2 run in which Rogowski hit consecutive treys.
A 9-2 second-half run capped by another 3 by Rogowski boosted DePaul's lead to 61-45, and the Blue Demons pulled away.
Penny scored 17, and Chanise Jenkins, Jessica January and Megan Podkowa scored 13 apiece. Conference assists leader Brittany Hrynko dished out 10 assists.
Logan Battle led Georgetown (10-20, 4-14) with 17, Natalie Butler had 15 and 13 rebounds, Andrea White scored 14 and Faith Woodward 11.