72632556 has 36 divisors (see below), whose sum is σ = 186345432. Its totient is φ = 23848704.

The previous prime is 72632513. The next prime is 72632561. The reversal of 72632556 is 65523627.

It is a happy number.

72632556 is a `hidden beast` number, since 72 + 6 + 32 + 556 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 72632556.

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 11 ways as a sum of consecutive naturals, for example, 12645 + ... + 17468.

It is an arithmetic number, because the mean of its divisors is an integer number (5176262).

Almost surely, 2^72632556 is an apocalyptic number.

It is an amenable number.

72632556 is an abundant number, since it is smaller than the sum of its proper divisors (113712876).

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

72632556 is a wasteful number, since it uses less digits than its factorization.

72632556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30190 (or 30185 counting only the distinct ones).

The product of its digits is 75600, while the sum is 36.

The square root of 72632556 is about 8522.4735845880. The cubic root of 72632556 is about 417.2315192116.

The spelling of 72632556 in words is "seventy-two million, six hundred thirty-two thousand, five hundred fifty-six".