72406684 has 12 divisors (see below), whose sum is σ = 144813424. Its totient is φ = 31031424.

The previous prime is 72406679. The next prime is 72406687. The reversal of 72406684 is 48660427.

72406684 is an admirable number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72406687) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1292949 + ... + 1293004.

Almost surely, 2^72406684 is an apocalyptic number.

It is an amenable number.

72406684 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

72406684 is a wasteful number, since it uses less digits than its factorization.

72406684 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2585964 (or 2585962 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 37.

The square root of 72406684 is about 8509.2117143717. The cubic root of 72406684 is about 416.7985692974.

It can be divided in two parts, 7240 and 6684, that added together give a square (13924 = 118²).

The spelling of 72406684 in words is "seventy-two million, four hundred six thousand, six hundred eighty-four".