72852808320 has 512 divisors, whose sum is σ = 263678976000. Its totient is φ = 19006783488.

The previous prime is 72852808319. The next prime is 72852808331. The reversal of 72852808320 is 2380825827.

72852808320 is a `hidden beast` number, since 7 + 28 + 528 + 0 + 83 + 20 = 666.

It is a super-2 number, since 2×72852808320² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 195315654 + ... + 195316026.

It is an arithmetic number, because the mean of its divisors is an integer number (514998000).

Almost surely, 2^72852808320 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 72852808320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131839488000).

72852808320 is an abundant number, since it is smaller than the sum of its proper divisors (190826167680).

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

72852808320 is a wasteful number, since it uses less digits than its factorization.

72852808320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 617 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 72852808320 in words is "seventy-two billion, eight hundred fifty-two million, eight hundred eight thousand, three hundred twenty".