72804400 has 30 divisors (see below), whose sum is σ = 174913532. Its totient is φ = 29121600.

The previous prime is 72804379. The next prime is 72804427. The reversal of 72804400 is 440827.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 90606 + ... + 91405.

Almost surely, 2^72804400 is an apocalyptic number.

It is an amenable number.

72804400 is an abundant number, since it is smaller than the sum of its proper divisors (102109132).

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

72804400 is a wasteful number, since it uses less digits than its factorization.

72804400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182029 (or 182018 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 25.

The square root of 72804400 is about 8532.5494431618. The cubic root of 72804400 is about 417.5603077809.

The spelling of 72804400 in words is "seventy-two million, eight hundred four thousand, four hundred".