72071352064656 has 480 divisors, whose sum is σ = 244898995461120. Its totient is φ = 20089240883712.

The previous prime is 72071352064651. The next prime is 72071352064681. The reversal of 72071352064656 is 65646025317027.

72071352064656 is a `hidden beast` number, since 7 + 2 + 0 + 7 + 1 + 3 + 520 + 64 + 6 + 56 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (72071352064651) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1005241546 + ... + 1005313238.

It is an arithmetic number, because the mean of its divisors is an integer number (510206240544).

Almost surely, 2^{72071352064656} 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 72071352064656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122449497730560).

72071352064656 is an abundant number, since it is smaller than the sum of its proper divisors (172827643396464).

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

72071352064656 is a wasteful number, since it uses less digits than its factorization.

72071352064656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72625 (or 72607 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 54.

The spelling of 72071352064656 in words is "seventy-two trillion, seventy-one billion, three hundred fifty-two million, sixty-four thousand, six hundred fifty-six".