72631920 has 120 divisors (see below), whose sum is σ = 231730704. Its totient is φ = 18818048.

The previous prime is 72631877. The next prime is 72631943. The reversal of 72631920 is 2913627.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 530092 + ... + 530228.

Almost surely, 2^72631920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72631920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115865352).

72631920 is an abundant number, since it is smaller than the sum of its proper divisors (159098784).

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

72631920 is a wasteful number, since it uses less digits than its factorization.

72631920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 72631920 is about 8522.4362713956. The cubic root of 72631920 is about 417.2303013921.

The spelling of 72631920 in words is "seventy-two million, six hundred thirty-one thousand, nine hundred twenty".