72765008 has 30 divisors (see below), whose sum is σ = 147395514. Its totient is φ = 34796608.

The previous prime is 72764983. The next prime is 72765019. The reversal of 72765008 is 80056727.

It can be written as a sum of positive squares in only one way, i.e., 67043344 + 5721664 = 8188^2 + 2392^2 .

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 4166 + ... + 12762.

Almost surely, 2^72765008 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 72765008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73697757).

72765008 is an abundant number, since it is smaller than the sum of its proper divisors (74630506).

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

72765008 is a wasteful number, since it uses less digits than its factorization.

72765008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8651 (or 8622 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 35.

The square root of 72765008 is about 8530.2407937877. The cubic root of 72765008 is about 417.4849849381.

The spelling of 72765008 in words is "seventy-two million, seven hundred sixty-five thousand, eight".