72567312 has 20 divisors (see below), whose sum is σ = 187465680. Its totient is φ = 24189088.

The previous prime is 72567301. The next prime is 72567317. The reversal of 72567312 is 21376527.

It is not an unprimeable number, because it can be changed into a prime (72567317) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 755862 + ... + 755957.

It is an arithmetic number, because the mean of its divisors is an integer number (9373284).

Almost surely, 2^72567312 is an apocalyptic number.

It is an amenable number.

72567312 is an abundant number, since it is smaller than the sum of its proper divisors (114898368).

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

72567312 is a wasteful number, since it uses less digits than its factorization.

72567312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1511830 (or 1511824 counting only the distinct ones).

The product of its digits is 17640, while the sum is 33.

The square root of 72567312 is about 8518.6449626687. The cubic root of 72567312 is about 417.1065522560.

The spelling of 72567312 in words is "seventy-two million, five hundred sixty-seven thousand, three hundred twelve".