72665920735200 has 2304 divisors, whose sum is σ = 310242543206400. Its totient is φ = 16244283801600.

The previous prime is 72665920735193. The next prime is 72665920735283. The reversal of 72665920735200 is 253702956627.

72665920735200 is a `hidden beast` number, since 7 + 2 + 66 + 59 + 2 + 0 + 7 + 3 + 520 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 84201529969 + ... + 84201530831.

It is an arithmetic number, because the mean of its divisors is an integer number (134653881600).

Almost surely, 2^{72665920735200} 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 72665920735200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155121271603200).

72665920735200 is an abundant number, since it is smaller than the sum of its proper divisors (237576622471200).

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

72665920735200 is a wasteful number, since it uses less digits than its factorization.

72665920735200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1522 (or 1503 counting only the distinct ones).

The product of its (nonzero) digits is 9525600, while the sum is 54.

The spelling of 72665920735200 in words is "seventy-two trillion, six hundred sixty-five billion, nine hundred twenty million, seven hundred thirty-five thousand, two hundred".