83331872 has 72 divisors (see below), whose sum is σ = 187230960. Its totient is φ = 36391680.

The previous prime is 83331869. The next prime is 83331883. The reversal of 83331872 is 27813338.

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 11 ways as a sum of consecutive naturals, for example, 102347 + ... + 103157.

It is an arithmetic number, because the mean of its divisors is an integer number (2600430).

Almost surely, 2^83331872 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 83331872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93615480).

83331872 is an abundant number, since it is smaller than the sum of its proper divisors (103899088).

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

83331872 is a wasteful number, since it uses less digits than its factorization.

83331872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 866 (or 845 counting only the distinct ones).

The product of its digits is 24192, while the sum is 35.

The square root of 83331872 is about 9128.6292508788. The cubic root of 83331872 is about 436.7876791687.

The spelling of 83331872 in words is "eighty-three million, three hundred thirty-one thousand, eight hundred seventy-two".