72962 has 6 divisors (see below), whose sum is σ = 110019. Its totient is φ = 36290.

The previous prime is 72959. The next prime is 72973. The reversal of 72962 is 26927.

It can be written as a sum of positive squares in only one way, i.e., 36481 + 36481 = 191^2 + 191^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=191.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 287 + ... + 477.

2⁷²⁹⁶² is an apocalyptic number.

72962 is a deficient number, since it is larger than the sum of its proper divisors (37057).

72962 is an equidigital number, since it uses as much as digits as its factorization.

It is an anagram of its base 13 representation: 72962 = (27296)₁₃.

72962 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 193 counting only the distinct ones).

The product of its digits is 1512, while the sum is 26.

The square root of 72962 is about 270.1147904133. The cubic root of 72962 is about 41.7861388837.

The spelling of 72962 in words is "seventy-two thousand, nine hundred sixty-two".