72227880 has 96 divisors (see below), whose sum is σ = 235857960. Its totient is φ = 19169280.

The previous prime is 72227867. The next prime is 72227887. The reversal of 72227880 is 8872227.

It can be written as a sum of positive squares in 4 ways, for example, as 50381604 + 21846276 = 7098^2 + 4674^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (72227887) 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, 112360 + ... + 113000.

Almost surely, 2^72227880 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 72227880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117928980).

72227880 is an abundant number, since it is smaller than the sum of its proper divisors (163630080).

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

72227880 is a wasteful number, since it uses less digits than its factorization.

72227880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 971 (or 964 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 72227880 is about 8498.6987239224. The cubic root of 72227880 is about 416.4552000724.

The spelling of 72227880 in words is "seventy-two million, two hundred twenty-seven thousand, eight hundred eighty".