72600686734968 has 384 divisors, whose sum is σ = 232159940812800. Its totient is φ = 20069016323328.

The previous prime is 72600686734951. The next prime is 72600686735011. The reversal of 72600686734968 is 86943768600627.

72600686734968 is a `hidden beast` number, since 7 + 2 + 6 + 0 + 0 + 68 + 6 + 73 + 496 + 8 = 666.

It is a super-2 number, since 2×72600686734968² (a number of 29 digits) contains 22 as substring.

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 = 72600686734896 and 72600686734905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 649051221 + ... + 649163067.

It is an arithmetic number, because the mean of its divisors is an integer number (604583179200).

Almost surely, 2^{72600686734968} 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 72600686734968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116079970406400).

72600686734968 is an abundant number, since it is smaller than the sum of its proper divisors (159559254077832).

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

72600686734968 is a wasteful number, since it uses less digits than its factorization.

72600686734968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112271 (or 112264 counting only the distinct ones).

The product of its (nonzero) digits is 877879296, while the sum is 72.

The spelling of 72600686734968 in words is "seventy-two trillion, six hundred billion, six hundred eighty-six million, seven hundred thirty-four thousand, nine hundred sixty-eight".