72221008 has 40 divisors (see below), whose sum is σ = 145068840. Its totient is φ = 34805760.

The previous prime is 72220997. The next prime is 72221027. The reversal of 72221008 is 80012227.

It can be written as a sum of positive squares in 4 ways, for example, as 446224 + 71774784 = 668^2 + 8472^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 72221008.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57766 + ... + 59002.

It is an arithmetic number, because the mean of its divisors is an integer number (3626721).

Almost surely, 2^72221008 is an apocalyptic number.

It is an amenable number.

72221008 is an abundant number, since it is smaller than the sum of its proper divisors (72847832).

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

72221008 is a wasteful number, since it uses less digits than its factorization.

72221008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1375 (or 1369 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 22.

The square root of 72221008 is about 8498.2944171169. The cubic root of 72221008 is about 416.4419920107.

The spelling of 72221008 in words is "seventy-two million, two hundred twenty-one thousand, eight".