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With Saturday’s results, Mr. Romney now has 568 delegates — 295 delegates more than Mr. Santorum’s 273. Mr. Gingrich has 135, and Mr. Paul has 50, according to estimates by the Associated Press.

Mr. Santorum, however, called those figures “bad math” on Sunday, and said he strongly disagrees with the estimated delegate totals that are being widely reported.

He also is calling attention once again to what is often viewed as Mr. Romney’s biggest weakness — his support of a government health care system in Massachusetts, a program that the administration used as a model for Mr. Obama’s health care law.

Mitt Romney is the godfather of our health care plan,” David Plouffe, Obama senior adviser, said during Sunday’s “Meet the Press” talk show.