8072873032 has 64 divisors (see below), whose sum is σ = 17687831040. Its totient is φ = 3382214400.

The previous prime is 8072873023. The next prime is 8072873059. The reversal of 8072873032 is 2303782708.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3633682 + ... + 3635902.

It is an arithmetic number, because the mean of its divisors is an integer number (276372360).

Almost surely, 2^8072873032 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 8072873032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8843915520).

8072873032 is an abundant number, since it is smaller than the sum of its proper divisors (9614958008).

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

8072873032 is a wasteful number, since it uses less digits than its factorization.

8072873032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3662 (or 3658 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 40.

The square root of 8072873032 is about 89849.1682320988. The cubic root of 8072873032 is about 2006.0544062550.

The spelling of 8072873032 in words is "eight billion, seventy-two million, eight hundred seventy-three thousand, thirty-two".