72630906 has 16 divisors (see below), whose sum is σ = 150271200. Its totient is φ = 23375408.

The previous prime is 72630841. The next prime is 72630911. The reversal of 72630906 is 60903627.

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 7 ways as a sum of consecutive naturals, for example, 208536 + ... + 208883.

It is an arithmetic number, because the mean of its divisors is an integer number (9391950).

Almost surely, 2^72630906 is an apocalyptic number.

72630906 is an abundant number, since it is smaller than the sum of its proper divisors (77640294).

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

72630906 is a wasteful number, since it uses less digits than its factorization.

72630906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417453.

The product of its (nonzero) digits is 13608, while the sum is 33.

The square root of 72630906 is about 8522.3767811568. The cubic root of 72630906 is about 417.2283597596.

It can be divided in two parts, 72630 and 906, that added together give a triangular number (73536 = T₃₈₃).

The spelling of 72630906 in words is "seventy-two million, six hundred thirty thousand, nine hundred six".