72868684877296 has 180 divisors, whose sum is σ = 180652025056440. Its totient is φ = 28369787846400.

The previous prime is 72868684877269. The next prime is 72868684877321. The reversal of 72868684877296 is 69277848686827.

72868684877296 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (88).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 130729075 + ... + 131285293.

Almost surely, 2^{72868684877296} 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 72868684877296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90326012528220).

72868684877296 is an abundant number, since it is smaller than the sum of its proper divisors (107783340179144).

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

72868684877296 is a wasteful number, since it uses less digits than its factorization.

72868684877296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 557644 (or 557620 counting only the distinct ones).

The product of its digits is 43698880512, while the sum is 88.

The spelling of 72868684877296 in words is "seventy-two trillion, eight hundred sixty-eight billion, six hundred eighty-four million, eight hundred seventy-seven thousand, two hundred ninety-six".