72564663960 has 384 divisors, whose sum is σ = 251929267200. Its totient is φ = 18062714880.

The previous prime is 72564663937. The next prime is 72564664019. The reversal of 72564663960 is 6936646527.

72564663960 is a `hidden beast` number, since 72 + 56 + 466 + 3 + 9 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 72564663897 and 72564663906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 197723697 + ... + 197724063.

It is an arithmetic number, because the mean of its divisors is an integer number (656065800).

Almost surely, 2^72564663960 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 72564663960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125964633600).

72564663960 is an abundant number, since it is smaller than the sum of its proper divisors (179364603240).

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

72564663960 is a wasteful number, since it uses less digits than its factorization.

72564663960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 751 (or 744 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 54.

The spelling of 72564663960 in words is "seventy-two billion, five hundred sixty-four million, six hundred sixty-three thousand, nine hundred sixty".