72852834816 has 120 divisors (see below), whose sum is σ = 210554821620. Its totient is φ = 24250023936.

The previous prime is 72852834809. The next prime is 72852834823. The reversal of 72852834816 is 61843825827.

72852834816 is a `hidden beast` number, since 7 + 2 + 8 + 528 + 34 + 81 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (72852834809) and next prime (72852834823).

It can be written as a sum of positive squares in 2 ways, for example, as 72848169216 + 4665600 = 269904^2 + 2160^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3366880 + ... + 3388448.

Almost surely, 2^72852834816 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 72852834816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105277410810).

72852834816 is an abundant number, since it is smaller than the sum of its proper divisors (137701986804).

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

72852834816 is a wasteful number, since it uses less digits than its factorization.

72852834816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22326 (or 22307 counting only the distinct ones).

The product of its digits is 5160960, while the sum is 54.

The spelling of 72852834816 in words is "seventy-two billion, eight hundred fifty-two million, eight hundred thirty-four thousand, eight hundred sixteen".