72202223880 has 320 divisors, whose sum is σ = 260489409840. Its totient is φ = 17872109568.

The previous prime is 72202223857. The next prime is 72202223881. The reversal of 72202223880 is 8832220227.

72202223880 is a `hidden beast` number, since 72 + 202 + 2 + 2 + 388 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 66319640676 + 5882583204 = 257526^2 + 76698^2 .

It is a super-2 number, since 2×72202223880² (a number of 23 digits) contains 22 as substring.

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 (72202223881) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4011862 + ... + 4029818.

Almost surely, 2^72202223880 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 72202223880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130244704920).

72202223880 is an abundant number, since it is smaller than the sum of its proper divisors (188287185960).

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

72202223880 is a wasteful number, since it uses less digits than its factorization.

72202223880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18070 (or 18057 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 72202223880 in words is "seventy-two billion, two hundred two million, two hundred twenty-three thousand, eight hundred eighty".