72984306 has 16 divisors (see below), whose sum is σ = 148148064. Its totient is φ = 23964864.

The previous prime is 72984299. The next prime is 72984319. The reversal of 72984306 is 60348927.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 90375 + ... + 91178.

It is an arithmetic number, because the mean of its divisors is an integer number (9259254).

Almost surely, 2^72984306 is an apocalyptic number.

72984306 is an abundant number, since it is smaller than the sum of its proper divisors (75163758).

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

72984306 is a wasteful number, since it uses less digits than its factorization.

72984306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181625.

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 72984306 is about 8543.0852740681. The cubic root of 72984306 is about 417.9039674691.

The spelling of 72984306 in words is "seventy-two million, nine hundred eighty-four thousand, three hundred six".