72400056 has 32 divisors (see below), whose sum is σ = 181213200. Its totient is φ = 24104960.

The previous prime is 72400043. The next prime is 72400057. The reversal of 72400056 is 65000427.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 72399999 and 72400035.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72400057) 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, 32746 + ... + 34886.

Almost surely, 2^72400056 is an apocalyptic number.

It is an amenable number.

72400056 is an abundant number, since it is smaller than the sum of its proper divisors (108813144).

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

72400056 is a wasteful number, since it uses less digits than its factorization.

72400056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3559 (or 3555 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 72400056 is about 8508.8222451759. The cubic root of 72400056 is about 416.7858512026.

The spelling of 72400056 in words is "seventy-two million, four hundred thousand, fifty-six".