72759796107264 has 2112 divisors, whose sum is σ = 269923227275520. Its totient is φ = 19155684556800.

The previous prime is 72759796107259. The next prime is 72759796107269. The reversal of 72759796107264 is 46270169795727.

72759796107264 is a `hidden beast` number, since 7 + 2 + 7 + 597 + 9 + 6 + 1 + 0 + 7 + 26 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (72759796107259) and next prime (72759796107269).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 72759796107192 and 72759796107201.

It is not an unprimeable number, because it can be changed into a prime (72759796107269) by changing a digit.

It is a polite number, since it can be written in 175 ways as a sum of consecutive naturals, for example, 720394020814 + ... + 720394020914.

Almost surely, 2^{72759796107264} is an apocalyptic number.

72759796107264 is a gapful number since it is divisible by the number (74) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72759796107264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134961613637760).

72759796107264 is an abundant number, since it is smaller than the sum of its proper divisors (197163431168256).

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

72759796107264 is an equidigital number, since it uses as much as digits as its factorization.

72759796107264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 560105280, while the sum is 72.

The spelling of 72759796107264 in words is "seventy-two trillion, seven hundred fifty-nine billion, seven hundred ninety-six million, one hundred seven thousand, two hundred sixty-four".