72765184 has 72 divisors (see below), whose sum is σ = 153643392. Its totient is φ = 34344960.

The previous prime is 72765167. The next prime is 72765191. The reversal of 72765184 is 48156727.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 420522 + ... + 420694.

It is an arithmetic number, because the mean of its divisors is an integer number (2133936).

Almost surely, 2^72765184 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72765184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76821696).

72765184 is an abundant number, since it is smaller than the sum of its proper divisors (80878208).

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

72765184 is a wasteful number, since it uses less digits than its factorization.

72765184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 259 counting only the distinct ones).

The product of its digits is 94080, while the sum is 40.

The square root of 72765184 is about 8530.2511100201. The cubic root of 72765184 is about 417.4853215345.

The spelling of 72765184 in words is "seventy-two million, seven hundred sixty-five thousand, one hundred eighty-four".