Jamie Drysdale made it 3-2 at 14:04 with a power-play goal off a shot from the left circle. It was the defenseman's first goal for the Flyers since being traded from the Anaheim Ducks on Jan. 8.
Michael Eyssimont made it 4-2 at 17:42 with a power-play goal off a pass from Kucherov.
"You have to be aware and know who you're out there with," Eyssimont said. "When you're out there with [Kucherov], just get open."
Cam York made it 4-3 at 42 seconds of the third period when he scored on a rebound off his own shot, knocking the puck out of midair past Vasilevskiy.
Hagel pushed the lead back to 5-3 with an empty-net goal at 19:00, and Kucherov completed his hat trick with an empty net goal at 19:49 for the 6-3 final.
"Obviously they've got a lot of skilled players and they are very good at what they do," Ersson said. "But I think maybe we made them look good today too. Also for us knowing we had to do a better job of staying out of the box and not taking unnecessary penalties."
Philadelphia announced earlier Tuesday that goalie Carter Hart would be away from the team on an indefinite leave of absence. Ersson is likely to get the bulk of the starter's action while Hart is away.
"Sam's played very well," Tortorella said. "I'm totally confident in Sam."
NOTES: Kucherov has four games of four or more points this season and has scored three or more points in four of the past eight games. ... Kucherov has 25 career four-point games; only five active players have as many: Sidney Crosby of the Pittsburgh Penguins (38), Connor McDavid of the Edmonton Oilers (35), Alex Ovechkin of the Washington Capitals (32), Evgeni Malkin of the Penguins (29) and Leon Draisaitl of the Oilers (25). … York scored his first goal in 17 games (Dec. 16 vs. Detroit Red Wings). ... Point has seven points (two goals, five assists) in his past five games. ... Atkinson has 10 points (five goals, five assist) during a six-game point streak. ... Frost has six assists in his past four games.