Who knows sixty-two?
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The Bnai Yisrael had 62 consecutive years of peace following the subjugation of Moav by Ehud ben Gera. Shoftim 4:30 says that (following the victory) the land was calm for 80 years. Both the Ralbag and the Metzudas David in the name of the Seder Olam say that these years include the years that the Bnai Yisrael were subjugated by Moav, which was 18 (ibid. 14). That leaves 62 of actual peace.
62 are the descendants of Oved Edom the Gittite: his wife and each of his eight daughters-in-law all bore healthy sextuplets. (So 6 babies each for 9 women, plus his original 8 sons = 62.)
This was a special blessing from Hashem, in reward for his having hosted the Aron Hakodesh (Ark of the Covenant) in his house for three months, and treating it respectfully.
(Berachos 63b-64a, based on II Sam. 6:10-11 and I Chron. 26:5,8)