72992 has 12 divisors (see below), whose sum is σ = 143766. Its totient is φ = 36480.

The previous prime is 72977. The next prime is 72997. The reversal of 72992 is 29927.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 59536 + 13456 = 244^2 + 116^2 .

It is an Ulam number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 72992.

It is not an unprimeable number, because it can be changed into a prime (72997) by changing a digit.

72992 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1109 + ... + 1172.

2⁷²⁹⁹² is an apocalyptic number.

It is an amenable number.

72992 is a deficient number, since it is larger than the sum of its proper divisors (70774).

72992 is a wasteful number, since it uses less digits than its factorization.

72992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2291 (or 2283 counting only the distinct ones).

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

The square root of 72992 is about 270.1703166523. The cubic root of 72992 is about 41.7918652088.

The spelling of 72992 in words is "seventy-two thousand, nine hundred ninety-two".