72079956 has 120 divisors (see below), whose sum is σ = 206092040. Its totient is φ = 21835008.

The previous prime is 72079913. The next prime is 72079961. The reversal of 72079956 is 65997027.

It can be written as a sum of positive squares in 4 ways, for example, as 2624400 + 69455556 = 1620^2 + 8334^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 459030 + ... + 459186.

Almost surely, 2^72079956 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 72079956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103046020).

72079956 is an abundant number, since it is smaller than the sum of its proper divisors (134012084).

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

72079956 is a wasteful number, since it uses less digits than its factorization.

72079956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 45.

The square root of 72079956 is about 8489.9915194304. The cubic root of 72079956 is about 416.1707031805.

The spelling of 72079956 in words is "seventy-two million, seventy-nine thousand, nine hundred fifty-six".