72680384523264 has 264 divisors, whose sum is σ = 225418983487920. Its totient is φ = 20759230808064.

The previous prime is 72680384523251. The next prime is 72680384523277. The reversal of 72680384523264 is 46232548308627.

It is an interprime number because it is at equal distance from previous prime (72680384523251) and next prime (72680384523277).

It is a junction number, because it is equal to n+sod(n) for n = 72680384523198 and 72680384523207.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 484173532 + ... + 484323620.

Almost surely, 2^{72680384523264} 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 72680384523264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112709491743960).

72680384523264 is an abundant number, since it is smaller than the sum of its proper divisors (152738598964656).

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

72680384523264 is a wasteful number, since it uses less digits than its factorization.

72680384523264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153343 (or 153318 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 60.

The spelling of 72680384523264 in words is "seventy-two trillion, six hundred eighty billion, three hundred eighty-four million, five hundred twenty-three thousand, two hundred sixty-four".