NEW YORK — A-Rod and the Material Girl? That’s a lot of hits.

Reports that Yankees superstar Alex Rodriguez and Madonna have become close just as their marriages are disintegrating have both the celebrity gossip industry and the sporting world — each a chatty bunch — buzzing with questions about the two “friends.”

A third boldface name was added to the saga when Rodriguez’s wife fled from New York to the Paris home of rocker Lenny Kravitz, who denied anything improper had happened with the slugger’s wife.

Rodriguez remained mum. He signed a couple of autographs before Thursday night’s game at Yankee Stadium against Boston, but didn’t take questions from a pack of reporters.

The whole story began last week amid tabloid stories that Madonna, who is married to British filmmaker Guy Ritchie, had consulted a high-profile London divorce attorney. On Tuesday, her publicist issued a statement saying Madonna’s marriage was not in jeopardy.