72802698006528 has 2496 divisors, whose sum is σ = 280114271539200. Its totient is φ = 18540810731520.

The previous prime is 72802698006527. The next prime is 72802698006553. The reversal of 72802698006528 is 82560089620827.

72802698006528 is a `hidden beast` number, since 7 + 2 + 8 + 0 + 26 + 9 + 80 + 0 + 6 + 528 = 666.

It is a super-2 number, since 2×72802698006528² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (72802698006523) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 168135561000 + ... + 168135561432.

Almost surely, 2^{72802698006528} 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 72802698006528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140057135769600).

72802698006528 is an abundant number, since it is smaller than the sum of its proper divisors (207311573532672).

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

72802698006528 is a wasteful number, since it uses less digits than its factorization.

72802698006528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 593 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 72802698006528 in words is "seventy-two trillion, eight hundred two billion, six hundred ninety-eight million, six thousand, five hundred twenty-eight".