72657544962688 has 256 divisors, whose sum is σ = 170743985475840. Its totient is φ = 30146494464000.

The previous prime is 72657544962671. The next prime is 72657544962689. The reversal of 72657544962688 is 88626944575627.

It is not an unprimeable number, because it can be changed into a prime (72657544962689) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9594284470 + ... + 9594292042.

It is an arithmetic number, because the mean of its divisors is an integer number (666968693265).

Almost surely, 2^{72657544962688} 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 72657544962688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85371992737920).

72657544962688 is an abundant number, since it is smaller than the sum of its proper divisors (98086440513152).

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

72657544962688 is a wasteful number, since it uses less digits than its factorization.

72657544962688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9035 (or 9023 counting only the distinct ones).

The product of its digits is 9754214400, while the sum is 79.

The spelling of 72657544962688 in words is "seventy-two trillion, six hundred fifty-seven billion, five hundred forty-four million, nine hundred sixty-two thousand, six hundred eighty-eight".