72917628384240 has 640 divisors, whose sum is σ = 276002106163200. Its totient is φ = 17612218229760.

The previous prime is 72917628384229. The next prime is 72917628384323. The reversal of 72917628384240 is 4248382671927.

It is a happy number.

72917628384240 is a `hidden beast` number, since 7 + 2 + 9 + 1 + 7 + 6 + 2 + 8 + 384 + 240 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2181382407 + ... + 2181415833.

It is an arithmetic number, because the mean of its divisors is an integer number (431253290880).

Almost surely, 2^{72917628384240} 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 72917628384240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138001053081600).

72917628384240 is an abundant number, since it is smaller than the sum of its proper divisors (203084477778960).

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

72917628384240 is a wasteful number, since it uses less digits than its factorization.

72917628384240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35802 (or 35790 counting only the distinct ones).

The product of its (nonzero) digits is 65028096, while the sum is 63.

The spelling of 72917628384240 in words is "seventy-two trillion, nine hundred seventeen billion, six hundred twenty-eight million, three hundred eighty-four thousand, two hundred forty".