72700400 has 30 divisors (see below), whose sum is σ = 174663672. Its totient is φ = 29080000.

The previous prime is 72700373. The next prime is 72700409. The reversal of 72700400 is 400727.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72700409) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 90476 + ... + 91275.

Almost surely, 2^72700400 is an apocalyptic number.

It is an amenable number.

72700400 is an abundant number, since it is smaller than the sum of its proper divisors (101963272).

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

72700400 is a wasteful number, since it uses less digits than its factorization.

72700400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181769 (or 181758 counting only the distinct ones).

The product of its (nonzero) digits is 392, while the sum is 20.

The square root of 72700400 is about 8526.4529553619. The cubic root of 72700400 is about 417.3613868074.

The spelling of 72700400 in words is "seventy-two million, seven hundred thousand, four hundred".