72046624 has 24 divisors (see below), whose sum is σ = 152753580. Its totient is φ = 33252096.

The previous prime is 72046621. The next prime is 72046661. The reversal of 72046624 is 42664027.

It can be written as a sum of positive squares in 2 ways, for example, as 69422224 + 2624400 = 8332^2 + 1620^2 .

It is not an unprimeable number, because it can be changed into a prime (72046621) 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, 86179 + ... + 87010.

Almost surely, 2^72046624 is an apocalyptic number.

It is an amenable number.

72046624 is an abundant number, since it is smaller than the sum of its proper divisors (80706956).

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

72046624 is a wasteful number, since it uses less digits than its factorization.

72046624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173212 (or 173204 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 31.

The square root of 72046624 is about 8488.0282751650. The cubic root of 72046624 is about 416.1065432233.

The spelling of 72046624 in words is "seventy-two million, forty-six thousand, six hundred twenty-four".