Last week’s brutal mob attack in Brooklyn on a 15-year-old girl should horrify New Yorkers. The good news? It did.

Residents in Crown Heights, where the shocking caught-on-camera beating took place, are reacting just the right way: Parents of five of the teens involved forced their kids to turn themselves in. Neighbors are decrying the savagery.

Cops are treating the case with the utmost seriousness, pursuing every last perp. As of Sunday, they’d nabbed seven more teens, and are hunting for still others.

The welcome reaction comes after the girl was set upon by a dozen-plus teens who beat, kicked and jumped on her and stole her sneakers, phone and debit card.

On seeing footage of the beating, one mom realized, “That’s my kid.” She says she “wanted to kill him with my bare hands” — but settled for having him surrender.

“I’m angry and very disappointed in him. I did not teach him to act like an animal,” admits Donna Howell. Her “heart breaks for the victim’s family.”

Community activist Tony Herbert, the girl’s uncle, also had wise advice: “I’m not a proponent of our young people being in jail, but they have to atone for the criminality.”

Adds the girl’s aunt: “Young black people are dying every day.”

The community’s sentiments are encouraging, especially given how activists and pols have focused almost exclusively on protecting suspects and criminals.

Even better news: The 15-year-old, who suffered head trauma, is out of the hospital. Her grandma says she’ll “be all right” eventually. Thank goodness.

Ugly and shocking as the video was, the rest of the story has proved far better.