72872720 has 20 divisors (see below), whose sum is σ = 169429260. Its totient is φ = 29149056.

The previous prime is 72872719. The next prime is 72872731. The reversal of 72872720 is 2727827.

It can be written as a sum of positive squares in 2 ways, for example, as 21492496 + 51380224 = 4636^2 + 7168^2 .

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 (35) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 455375 + ... + 455534.

It is an arithmetic number, because the mean of its divisors is an integer number (8471463).

Almost surely, 2^72872720 is an apocalyptic number.

It is an amenable number.

72872720 is an abundant number, since it is smaller than the sum of its proper divisors (96556540).

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

72872720 is a wasteful number, since it uses less digits than its factorization.

72872720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 910922 (or 910916 counting only the distinct ones).

The product of its (nonzero) digits is 21952, while the sum is 35.

The square root of 72872720 is about 8536.5519971473. The cubic root of 72872720 is about 417.6908804814.

The spelling of 72872720 in words is "seventy-two million, eight hundred seventy-two thousand, seven hundred twenty".