72931705471656 has 192 divisors, whose sum is σ = 211531075392000. Its totient is φ = 23516975462400.

The previous prime is 72931705471621. The next prime is 72931705471663. The reversal of 72931705471656 is 65617450713927.

72931705471656 is a `hidden beast` number, since 7 + 2 + 9 + 3 + 1 + 70 + 547 + 16 + 5 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 72931705471593 and 72931705471602.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 151685520 + ... + 152165568.

It is an arithmetic number, because the mean of its divisors is an integer number (1101724351000).

Almost surely, 2^{72931705471656} 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 72931705471656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105765537696000).

72931705471656 is an abundant number, since it is smaller than the sum of its proper divisors (138599369920344).

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

72931705471656 is a wasteful number, since it uses less digits than its factorization.

72931705471656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482622 (or 482606 counting only the distinct ones).

The product of its (nonzero) digits is 66679200, while the sum is 63.

The spelling of 72931705471656 in words is "seventy-two trillion, nine hundred thirty-one billion, seven hundred five million, four hundred seventy-one thousand, six hundred fifty-six".