72684972 has 48 divisors (see below), whose sum is σ = 191116800. Its totient is φ = 23884560.

The previous prime is 72684967. The next prime is 72685001. The reversal of 72684972 is 27948627.

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, 2929 + ... + 12407.

It is an arithmetic number, because the mean of its divisors is an integer number (3981600).

Almost surely, 2^72684972 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72684972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95558400).

72684972 is an abundant number, since it is smaller than the sum of its proper divisors (118431828).

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

72684972 is a wasteful number, since it uses less digits than its factorization.

72684972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9563 (or 9555 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 72684972 is about 8525.5481935181. The cubic root of 72684972 is about 417.3318614907.

The spelling of 72684972 in words is "seventy-two million, six hundred eighty-four thousand, nine hundred seventy-two".