72765024 has 48 divisors (see below), whose sum is σ = 195084288. Its totient is φ = 23737472.

The previous prime is 72765023. The next prime is 72765047. The reversal of 72765024 is 42056727.

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72765023) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 3552 + ... + 12575.

It is an arithmetic number, because the mean of its divisors is an integer number (4064256).

Almost surely, 2^72765024 is an apocalyptic number.

It is an amenable number.

72765024 is an abundant number, since it is smaller than the sum of its proper divisors (122319264).

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

72765024 is a wasteful number, since it uses less digits than its factorization.

72765024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16187 (or 16179 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 33.

The square root of 72765024 is about 8530.2417316275. The cubic root of 72765024 is about 417.4850155378.

The spelling of 72765024 in words is "seventy-two million, seven hundred sixty-five thousand, twenty-four".