72630900 has 54 divisors (see below), whose sum is σ = 227660342. Its totient is φ = 19368000.

The previous prime is 72630841. The next prime is 72630911. The reversal of 72630900 is 903627.

It can be written as a sum of positive squares in 3 ways, for example, as 9809424 + 62821476 = 3132^2 + 7926^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 39451 + ... + 41250.

Almost surely, 2^72630900 is an apocalyptic number.

It is an amenable number.

72630900 is an abundant number, since it is smaller than the sum of its proper divisors (155029442).

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

72630900 is a wasteful number, since it uses less digits than its factorization.

72630900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80721 (or 80711 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 72630900 is about 8522.3764291423. The cubic root of 72630900 is about 417.2283482706.

It can be divided in two parts, 726 and 30900, that added together give a triangular number (31626 = T₂₅₁).

The spelling of 72630900 in words is "seventy-two million, six hundred thirty thousand, nine hundred".