72872900 has 18 divisors (see below), whose sum is σ = 158134410. Its totient is φ = 29149120.

The previous prime is 72872887. The next prime is 72872929. The reversal of 72872900 is 927827.

It can be written as a sum of positive squares in 3 ways, for example, as 9604 + 72863296 = 98^2 + 8536^2 .

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, 364265 + ... + 364464.

It is an arithmetic number, because the mean of its divisors is an integer number (8785245).

Almost surely, 2^72872900 is an apocalyptic number.

It is an amenable number.

72872900 is an abundant number, since it is smaller than the sum of its proper divisors (85261510).

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

72872900 is a wasteful number, since it uses less digits than its factorization.

72872900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 728743 (or 728736 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 35.

The square root of 72872900 is about 8536.5625400392. The cubic root of 72872900 is about 417.6912243884.

The spelling of 72872900 in words is "seventy-two million, eight hundred seventy-two thousand, nine hundred".