72180456 has 32 divisors (see below), whose sum is σ = 181397760. Its totient is φ = 23933952.

The previous prime is 72180439. The next prime is 72180469. The reversal of 72180456 is 65408127.

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, 3160 + ... + 12423.

It is an arithmetic number, because the mean of its divisors is an integer number (5668680).

Almost surely, 2^72180456 is an apocalyptic number.

It is an amenable number.

72180456 is an abundant number, since it is smaller than the sum of its proper divisors (109217304).

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

72180456 is a wasteful number, since it uses less digits than its factorization.

72180456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15785 (or 15781 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 72180456 is about 8495.9081915944. The cubic root of 72180456 is about 416.3640335427.

The spelling of 72180456 in words is "seventy-two million, one hundred eighty thousand, four hundred fifty-six".