72964085760 has 288 divisors, whose sum is σ = 266196294000. Its totient is φ = 18432589824.

The previous prime is 72964085749. The next prime is 72964085771. The reversal of 72964085760 is 6758046927.

72964085760 is a `hidden beast` number, since 7 + 2 + 9 + 64 + 0 + 8 + 576 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (72964085749) and next prime (72964085771).

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 72964085697 and 72964085706.

It is a congruent number.

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, 1730206 + ... + 1771874.

Almost surely, 2^72964085760 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 72964085760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133098147000).

72964085760 is an abundant number, since it is smaller than the sum of its proper divisors (193232208240).

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

72964085760 is a wasteful number, since it uses less digits than its factorization.

72964085760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41721 (or 41698 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 72964085760 in words is "seventy-two billion, nine hundred sixty-four million, eighty-five thousand, seven hundred sixty".