72651972 has 72 divisors (see below), whose sum is σ = 185025792. Its totient is φ = 22161600.

The previous prime is 72651967. The next prime is 72651973. The reversal of 72651972 is 27915627.

It is a self number, because there is not a number n which added to its sum of digits gives 72651972.

It is not an unprimeable number, because it can be changed into a prime (72651973) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 134022 + ... + 134562.

Almost surely, 2^72651972 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 72651972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92512896).

72651972 is an abundant number, since it is smaller than the sum of its proper divisors (112373820).

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

72651972 is a wasteful number, since it uses less digits than its factorization.

72651972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 617 (or 596 counting only the distinct ones).

The product of its digits is 52920, while the sum is 39.

The square root of 72651972 is about 8523.6126143790. The cubic root of 72651972 is about 417.2686937510.

The spelling of 72651972 in words is "seventy-two million, six hundred fifty-one thousand, nine hundred seventy-two".