72180480 has 72 divisors (see below), whose sum is σ = 230538672. Its totient is φ = 19247104.

The previous prime is 72180473. The next prime is 72180503. The reversal of 72180480 is 8408127.

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

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, 5559 + ... + 13238.

It is an arithmetic number, because the mean of its divisors is an integer number (3201926).

Almost surely, 2^72180480 is an apocalyptic number.

It is an amenable number.

72180480 is an abundant number, since it is smaller than the sum of its proper divisors (158358192).

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

72180480 is a wasteful number, since it uses less digits than its factorization.

72180480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18821 (or 18807 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 30.

The square root of 72180480 is about 8495.9096040389. The cubic root of 72180480 is about 416.3640796897.

The spelling of 72180480 in words is "seventy-two million, one hundred eighty thousand, four hundred eighty".