72220080 has 160 divisors (see below), whose sum is σ = 245127168. Its totient is φ = 17510400.

The previous prime is 72220051. The next prime is 72220117. The reversal of 72220080 is 8002227.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 126195 + ... + 126765.

Almost surely, 2^72220080 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 72220080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122563584).

72220080 is an abundant number, since it is smaller than the sum of its proper divisors (172907088).

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

72220080 is a wasteful number, since it uses less digits than its factorization.

72220080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 72220080 is about 8498.2398177505. The cubic root of 72220080 is about 416.4402083200.

It can be divided in two parts, 722 and 20080, that added together give a palindrome (20802).

The spelling of 72220080 in words is "seventy-two million, two hundred twenty thousand, eighty".