This is actually incorrect. I don't have time to look up the exact quote or dates right now but a person's anticipated total revenue from SS was supposed to be the same whether one took SS at 62 or 65 or 68 or 70; this might have been done in 1983 but I am not certain. Since that time, people's life expectancies have increased and one should anticipate receiving more money by waiting.
However this "break even" analysis is strongly opposed by Kotlikoff, Moeller and Solman because they consider SS to be insurance in case you live too long. (In some cases, they do encourage taking SS early.) You should read "Get What's Yours" to understand their argument.
One point made in the "Get What's Yours" is that there are many potential SS benefits and when you claim SS can affect all of them: disability, dependents, spousal, divorced spousal, parents, survivor, divorced survivor, etc. You might make the best choice for yourself (e.g. claiming early if your family members tend to die young) but your spouse might expect to live to 100 and, by taking SS at 62, you might have reduced her/his spousal benefit for life.
All I can say is go to the library and read the book.