1072372900 has 36 divisors (see below), whose sum is σ = 2329247620. Its totient is φ = 428544000.

The previous prime is 1072372891. The next prime is 1072372913. The reversal of 1072372900 is 92732701.

It can be written as a sum of positive squares in 6 ways, for example, as 561974436 + 510398464 = 23706^2 + 22592^2 .

It is a super-2 number, since 2×1072372900² = 2299967273308820000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 115636 + ... + 124564.

Almost surely, 2^1072372900 is an apocalyptic number.

1072372900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1072372900 is an abundant number, since it is smaller than the sum of its proper divisors (1256874720).

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

1072372900 is a wasteful number, since it uses less digits than its factorization.

1072372900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10144 (or 10137 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 31.

The square root of 1072372900 is about 32747.1052155759. The cubic root of 1072372900 is about 1023.5646457151.

The spelling of 1072372900 in words is "one billion, seventy-two million, three hundred seventy-two thousand, nine hundred".