72057180 has 48 divisors (see below), whose sum is σ = 217282464. Its totient is φ = 17736960.

The previous prime is 72057179. The next prime is 72057217. The reversal of 72057180 is 8175027.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45411 + ... + 46970.

It is an arithmetic number, because the mean of its divisors is an integer number (4526718).

Almost surely, 2^72057180 is an apocalyptic number.

It is an amenable number.

72057180 is an abundant number, since it is smaller than the sum of its proper divisors (145225284).

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

72057180 is a wasteful number, since it uses less digits than its factorization.

72057180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92406 (or 92404 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 30.

The square root of 72057180 is about 8488.6500693573. The cubic root of 72057180 is about 416.1268643521.

The spelling of 72057180 in words is "seventy-two million, fifty-seven thousand, one hundred eighty".