72964843110720 has 504 divisors, whose sum is σ = 276407201685888. Its totient is φ = 17653238507520.

The previous prime is 72964843110701. The next prime is 72964843110739. The reversal of 72964843110720 is 2701134846927.

72964843110720 is a `hidden beast` number, since 7 + 2 + 9 + 6 + 484 + 31 + 107 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (72964843110701) and next prime (72964843110739).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 175077309 + ... + 175493571.

It is an arithmetic number, because the mean of its divisors is an integer number (548426987472).

Almost surely, 2^{72964843110720} 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 72964843110720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138203600842944).

72964843110720 is an abundant number, since it is smaller than the sum of its proper divisors (203442358575168).

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

72964843110720 is a wasteful number, since it uses less digits than its factorization.

72964843110720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416811 (or 416787 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 72964843110720 in words is "seventy-two trillion, nine hundred sixty-four billion, eight hundred forty-three million, one hundred ten thousand, seven hundred twenty".