92972 has 12 divisors (see below), whose sum is σ = 177576. Its totient is φ = 42240.

The previous prime is 92959. The next prime is 92987. The reversal of 92972 is 27929.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1013 + ... + 1100.

It is an arithmetic number, because the mean of its divisors is an integer number (14798).

2⁹²⁹⁷² is an apocalyptic number.

It is an amenable number.

92972 is a deficient number, since it is larger than the sum of its proper divisors (84604).

92972 is a wasteful number, since it uses less digits than its factorization.

92972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2128 (or 2126 counting only the distinct ones).

The product of its digits is 2268, while the sum is 29.

The square root of 92972 is about 304.9131023751. The cubic root of 92972 is about 45.3020016106.

It can be divided in two parts, 929 and 72, that added together give a palindrome (1001).

The spelling of 92972 in words is "ninety-two thousand, nine hundred seventy-two".