72960687360 has 1152 divisors, whose sum is σ = 300646563840. Its totient is φ = 16588800000.

The previous prime is 72960687323. The next prime is 72960687403. The reversal of 72960687360 is 6378606927.

72960687360 is a `hidden beast` number, since 7 + 29 + 606 + 8 + 7 + 3 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 = 72960687297 and 72960687306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 483183285 + ... + 483183435.

It is an arithmetic number, because the mean of its divisors is an integer number (260977920).

Almost surely, 2^72960687360 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 72960687360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150323281920).

72960687360 is an abundant number, since it is smaller than the sum of its proper divisors (227685876480).

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

72960687360 is a wasteful number, since it uses less digits than its factorization.

72960687360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 72960687360 in words is "seventy-two billion, nine hundred sixty million, six hundred eighty-seven thousand, three hundred sixty".