72737072 has 20 divisors (see below), whose sum is σ = 141267000. Its totient is φ = 36281088.

The previous prime is 72737053. The next prime is 72737089. The reversal of 72737072 is 27073727.

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 (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1679 + ... + 12177.

It is an arithmetic number, because the mean of its divisors is an integer number (7063350).

Almost surely, 2^72737072 is an apocalyptic number.

It is an amenable number.

72737072 is a deficient number, since it is larger than the sum of its proper divisors (68529928).

72737072 is a wasteful number, since it uses less digits than its factorization.

72737072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10940 (or 10934 counting only the distinct ones).

The product of its (nonzero) digits is 28812, while the sum is 35.

The square root of 72737072 is about 8528.6031681630. The cubic root of 72737072 is about 417.4315510431.

The spelling of 72737072 in words is "seventy-two million, seven hundred thirty-seven thousand, seventy-two".