72846834528864 has 288 divisors, whose sum is σ = 221586942366720. Its totient is φ = 20897336401920.

The previous prime is 72846834528863. The next prime is 72846834528917. The reversal of 72846834528864 is 46882543864827.

It is a super-2 number, since 2×72846834528864² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72846834528863) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24509817 + ... + 27320775.

It is an arithmetic number, because the mean of its divisors is an integer number (769399105440).

Almost surely, 2^{72846834528864} 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 72846834528864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110793471183360).

72846834528864 is an abundant number, since it is smaller than the sum of its proper divisors (148740107837856).

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

72846834528864 is a wasteful number, since it uses less digits than its factorization.

72846834528864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2811114 (or 2811095 counting only the distinct ones).

The product of its digits is 3963617280, while the sum is 75.

The spelling of 72846834528864 in words is "seventy-two trillion, eight hundred forty-six billion, eight hundred thirty-four million, five hundred twenty-eight thousand, eight hundred sixty-four".