72933906 has 32 divisors (see below), whose sum is σ = 148838400. Its totient is φ = 23821200.

The previous prime is 72933899. The next prime is 72933907. The reversal of 72933906 is 60933927.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (72933907) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71065 + ... + 72083.

It is an arithmetic number, because the mean of its divisors is an integer number (4651200).

Almost surely, 2^72933906 is an apocalyptic number.

72933906 is an abundant number, since it is smaller than the sum of its proper divisors (75904494).

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

72933906 is a wasteful number, since it uses less digits than its factorization.

72933906 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1254.

The product of its (nonzero) digits is 61236, while the sum is 39.

The square root of 72933906 is about 8540.1350106424. The cubic root of 72933906 is about 417.8077494771.

The spelling of 72933906 in words is "seventy-two million, nine hundred thirty-three thousand, nine hundred six".