72286400 has 42 divisors (see below), whose sum is σ = 177873660. Its totient is φ = 28913920.

The previous prime is 72286399. The next prime is 72286421. The reversal of 72286400 is 468227.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 20990 + ... + 24189.

Almost surely, 2^72286400 is an apocalyptic number.

It is an amenable number.

72286400 is an abundant number, since it is smaller than the sum of its proper divisors (105587260).

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

72286400 is a wasteful number, since it uses less digits than its factorization.

72286400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45201 (or 45186 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 29.

The square root of 72286400 is about 8502.1409068540. The cubic root of 72286400 is about 416.5676422456.

The spelling of 72286400 in words is "seventy-two million, two hundred eighty-six thousand, four hundred".