72868231460016 has 320 divisors, whose sum is σ = 211307662051200. Its totient is φ = 24041047670784.

The previous prime is 72868231459999. The next prime is 72868231460023. The reversal of 72868231460016 is 61006413286827.

It is a happy number.

72868231460016 is a `hidden beast` number, since 7 + 2 + 8 + 6 + 8 + 2 + 3 + 14 + 600 + 16 = 666.

It is a super-2 number, since 2×72868231460016² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42047449486 + ... + 42047451218.

It is an arithmetic number, because the mean of its divisors is an integer number (660336443910).

Almost surely, 2^{72868231460016} 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 72868231460016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105653831025600).

72868231460016 is an abundant number, since it is smaller than the sum of its proper divisors (138439430591184).

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

72868231460016 is a wasteful number, since it uses less digits than its factorization.

72868231460016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3573 (or 3561 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 72868231460016 in words is "seventy-two trillion, eight hundred sixty-eight billion, two hundred thirty-one million, four hundred sixty thousand, sixteen".