72331956 has 36 divisors (see below), whose sum is σ = 184623712. Its totient is φ = 23875344.

The previous prime is 72331951. The next prime is 72331969. The reversal of 72331956 is 65913327.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 72331956.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72331951) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6046 + ... + 13461.

Almost surely, 2^72331956 is an apocalyptic number.

It is an amenable number.

72331956 is an abundant number, since it is smaller than the sum of its proper divisors (112291756).

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

72331956 is a wasteful number, since it uses less digits than its factorization.

72331956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19620 (or 19615 counting only the distinct ones).

The product of its digits is 34020, while the sum is 36.

The square root of 72331956 is about 8504.8195748058. The cubic root of 72331956 is about 416.6551329785.

The spelling of 72331956 in words is "seventy-two million, three hundred thirty-one thousand, nine hundred fifty-six".