72054676 has 48 divisors (see below), whose sum is σ = 137894400. Its totient is φ = 32840192.

The previous prime is 72054659. The next prime is 72054683. The reversal of 72054676 is 67645027.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 301365 + ... + 301603.

It is an arithmetic number, because the mean of its divisors is an integer number (2872800).

Almost surely, 2^72054676 is an apocalyptic number.

72054676 is the 6931-st pentagonal number.

It is an amenable number.

72054676 is a deficient number, since it is larger than the sum of its proper divisors (65839724).

72054676 is a wasteful number, since it uses less digits than its factorization.

72054676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 37.

The square root of 72054676 is about 8488.5025770156. The cubic root of 72054676 is about 416.1220441351.

It can be divided in two parts, 7205 and 4676, that added together give a square (11881 = 109²).

The spelling of 72054676 in words is "seventy-two million, fifty-four thousand, six hundred seventy-six".