72962900 has 36 divisors (see below), whose sum is σ = 165218592. Its totient is φ = 27915360.

The previous prime is 72962891. The next prime is 72962909. The reversal of 72962900 is 926927.

It is an interprime number because it is at equal distance from previous prime (72962891) and next prime (72962909).

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72962909) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13562 + ... + 18161.

Almost surely, 2^72962900 is an apocalyptic number.

It is an amenable number.

72962900 is an abundant number, since it is smaller than the sum of its proper divisors (92255692).

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

72962900 is a wasteful number, since it uses less digits than its factorization.

72962900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31760 (or 31753 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 35.

The square root of 72962900 is about 8541.8323561166. The cubic root of 72962900 is about 417.8631069629.

The spelling of 72962900 in words is "seventy-two million, nine hundred sixty-two thousand, nine hundred".