72595466568 has 96 divisors (see below), whose sum is σ = 204230644800. Its totient is φ = 24158616768.

The previous prime is 72595466557. The next prime is 72595466623. The reversal of 72595466568 is 86566459527.

It is a happy number.

72595466568 is a `hidden beast` number, since 7 + 2 + 5 + 9 + 5 + 4 + 66 + 568 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1161213 + ... + 1222131.

It is an arithmetic number, because the mean of its divisors is an integer number (2127402550).

Almost surely, 2^72595466568 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 72595466568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102115322400).

72595466568 is an abundant number, since it is smaller than the sum of its proper divisors (131635178232).

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

72595466568 is a wasteful number, since it uses less digits than its factorization.

72595466568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61553 (or 61537 counting only the distinct ones).

The product of its digits is 108864000, while the sum is 63.

The spelling of 72595466568 in words is "seventy-two billion, five hundred ninety-five million, four hundred sixty-six thousand, five hundred sixty-eight".