72000080 has 20 divisors (see below), whose sum is σ = 167400372. Its totient is φ = 28800000.

The previous prime is 72000053. The next prime is 72000091. The reversal of 72000080 is 8000027.

It can be written as a sum of positive squares in 2 ways, for example, as 42667024 + 29333056 = 6532^2 + 5416^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a hoax number, since the sum of its digits (17) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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, 449921 + ... + 450080.

Almost surely, 2^72000080 is an apocalyptic number.

It is an amenable number.

72000080 is an abundant number, since it is smaller than the sum of its proper divisors (95400292).

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

72000080 is a wasteful number, since it uses less digits than its factorization.

72000080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900014 (or 900008 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 17.

The square root of 72000080 is about 8485.2860882825. The cubic root of 72000080 is about 416.0169186906.

The spelling of 72000080 in words is "seventy-two million, eighty", and thus it is an aban number and an uban number.