72653900 has 54 divisors (see below), whose sum is σ = 172663428. Its totient is φ = 26316800.

The previous prime is 72653897. The next prime is 72653923. The reversal of 72653900 is 935627.

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 17 ways as a sum of consecutive naturals, for example, 282572 + ... + 282828.

Almost surely, 2^72653900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72653900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86331714).

72653900 is an abundant number, since it is smaller than the sum of its proper divisors (100009528).

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

72653900 is a wasteful number, since it uses less digits than its factorization.

72653900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 32.

The square root of 72653900 is about 8523.7257112134. The cubic root of 72653900 is about 417.2723848044.

The spelling of 72653900 in words is "seventy-two million, six hundred fifty-three thousand, nine hundred".