23972 has 12 divisors (see below), whose sum is σ = 45276. Its totient is φ = 11040.

The previous prime is 23971. The next prime is 23977. The reversal of 23972 is 27932.

It can be written as a sum of positive squares in 2 ways, for example, as 5476 + 18496 = 74^2 + 136^2 .

It is not an unprimeable number, because it can be changed into a prime (23971) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 179 + ... + 282.

It is an arithmetic number, because the mean of its divisors is an integer number (3773).

2²³⁹⁷² is an apocalyptic number.

It is an amenable number.

23972 is a deficient number, since it is larger than the sum of its proper divisors (21304).

23972 is a wasteful number, since it uses less digits than its factorization.

23972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 476 counting only the distinct ones).

The product of its digits is 756, while the sum is 23.

The square root of 23972 is about 154.8289378637. The cubic root of 23972 is about 28.8337695443.

The spelling of 23972 in words is "twenty-three thousand, nine hundred seventy-two".