72676824 has 64 divisors (see below), whose sum is σ = 208656000. Its totient is φ = 20862720.

The previous prime is 72676823. The next prime is 72676841. The reversal of 72676824 is 42867627.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72676823) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2229 + ... + 12260.

It is an arithmetic number, because the mean of its divisors is an integer number (3260250).

Almost surely, 2^72676824 is an apocalyptic number.

It is an amenable number.

72676824 is an abundant number, since it is smaller than the sum of its proper divisors (135979176).

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

72676824 is a wasteful number, since it uses less digits than its factorization.

72676824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14528 (or 14524 counting only the distinct ones).

The product of its digits is 225792, while the sum is 42.

The square root of 72676824 is about 8525.0703222906. The cubic root of 72676824 is about 417.3162665794.

The spelling of 72676824 in words is "seventy-two million, six hundred seventy-six thousand, eight hundred twenty-four".