72932 has 6 divisors (see below), whose sum is σ = 127638. Its totient is φ = 36464.

The previous prime is 72931. The next prime is 72937. The reversal of 72932 is 23927.

72932 is nontrivially palindromic in base 13.

It can be written as a sum of positive squares in only one way, i.e., 65536 + 7396 = 256^2 + 86^2 .

72932 is an undulating number in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 72898 and 72907.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 72932.

It is not an unprimeable number, because it can be changed into a prime (72931) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 9113 + ... + 9120.

It is an arithmetic number, because the mean of its divisors is an integer number (21273).

2⁷²⁹³² is an apocalyptic number.

It is an amenable number.

72932 is a deficient number, since it is larger than the sum of its proper divisors (54706).

72932 is a wasteful number, since it uses less digits than its factorization.

72932 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18237 (or 18235 counting only the distinct ones).

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

The square root of 72932 is about 270.0592527576. The cubic root of 72932 is about 41.7804109887.

The spelling of 72932 in words is "seventy-two thousand, nine hundred thirty-two".