72906984 has 24 divisors (see below), whose sum is σ = 197456610. Its totient is φ = 24302304.

The previous prime is 72906943. The next prime is 72906997. The reversal of 72906984 is 48960927.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 50722884 + 22184100 = 7122^2 + 4710^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 506227 + ... + 506370.

Almost surely, 2^72906984 is an apocalyptic number.

It is an amenable number.

72906984 is an abundant number, since it is smaller than the sum of its proper divisors (124549626).

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

72906984 is a wasteful number, since it uses less digits than its factorization.

72906984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1012609 (or 1012602 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 72906984 is about 8538.5586605703. The cubic root of 72906984 is about 417.7563348693.

The spelling of 72906984 in words is "seventy-two million, nine hundred six thousand, nine hundred eighty-four".