72160008 has 16 divisors (see below), whose sum is σ = 180400080. Its totient is φ = 24053328.

The previous prime is 72159973. The next prime is 72160021. The reversal of 72160008 is 80006127.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 3006667 = 72160008 / (7 + 2 + 1 + 6 + 0 + 0 + 0 + 8).

It is a self number, because there is not a number n which added to its sum of digits gives 72160008.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1503310 + ... + 1503357.

It is an arithmetic number, because the mean of its divisors is an integer number (11275005).

Almost surely, 2^72160008 is an apocalyptic number.

It is an amenable number.

72160008 is an abundant number, since it is smaller than the sum of its proper divisors (108240072).

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

72160008 is a wasteful number, since it uses less digits than its factorization.

72160008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3006676 (or 3006672 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 72160008 is about 8494.7047035197. The cubic root of 72160008 is about 416.3247125763.

The spelling of 72160008 in words is "seventy-two million, one hundred sixty thousand, eight".