72652584960 has 384 divisors, whose sum is σ = 263799244800. Its totient is φ = 18958417920.

The previous prime is 72652584911. The next prime is 72652585003. The reversal of 72652584960 is 6948525627.

72652584960 is a `hidden beast` number, since 7 + 2 + 6 + 52 + 584 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 72652584897 and 72652584906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12991765 + ... + 12997355.

It is an arithmetic number, because the mean of its divisors is an integer number (686977200).

Almost surely, 2^72652584960 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 72652584960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131899622400).

72652584960 is an abundant number, since it is smaller than the sum of its proper divisors (191146659840).

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

72652584960 is a wasteful number, since it uses less digits than its factorization.

72652584960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5674 (or 5648 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 72652584960 in words is "seventy-two billion, six hundred fifty-two million, five hundred eighty-four thousand, nine hundred sixty".