93972 has 24 divisors (see below), whose sum is σ = 225792. Its totient is φ = 30400.

The previous prime is 93971. The next prime is 93979. The reversal of 93972 is 27939.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93971) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 397 + ... + 587.

It is an arithmetic number, because the mean of its divisors is an integer number (9408).

2⁹³⁹⁷² is an apocalyptic number.

It is an amenable number.

93972 is an abundant number, since it is smaller than the sum of its proper divisors (131820).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112896).

93972 is a wasteful number, since it uses less digits than its factorization.

93972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 237 counting only the distinct ones).

The product of its digits is 3402, while the sum is 30.

The square root of 93972 is about 306.5485279691. The cubic root of 93972 is about 45.4638444006.

The spelling of 93972 in words is "ninety-three thousand, nine hundred seventy-two".