72613224 has 24 divisors (see below), whose sum is σ = 196661010. Its totient is φ = 24204384.

The previous prime is 72613223. The next prime is 72613259. The reversal of 72613224 is 42231627.

It can be written as a sum of positive squares in only one way, i.e., 61121124 + 11492100 = 7818^2 + 3390^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (72613223) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 504187 + ... + 504330.

Almost surely, 2^72613224 is an apocalyptic number.

It is an amenable number.

72613224 is an abundant number, since it is smaller than the sum of its proper divisors (124047786).

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

72613224 is a wasteful number, since it uses less digits than its factorization.

72613224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1008529 (or 1008522 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 72613224 is about 8521.3393313493. The cubic root of 72613224 is about 417.1944989189.

The spelling of 72613224 in words is "seventy-two million, six hundred thirteen thousand, two hundred twenty-four".