I made those same calculations when I retired, and took it at 62.
Now my wife waited until 66 and draws off of mine while hers builds. She will take her own at 70 and will be making about as much as I do or more.
My wife is 6 years okder than me. We started hers at 62. I will start mine at 62 also. My math says take it when you can get it.