83234872 has 64 divisors (see below), whose sum is σ = 186624000. Its totient is φ = 34048896.

The previous prime is 83234869. The next prime is 83234881. The reversal of 83234872 is 27843238.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 173529 + ... + 174007.

It is an arithmetic number, because the mean of its divisors is an integer number (2916000).

Almost surely, 2^83234872 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 83234872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93312000).

83234872 is an abundant number, since it is smaller than the sum of its proper divisors (103389128).

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

83234872 is a wasteful number, since it uses less digits than its factorization.

83234872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628 (or 624 counting only the distinct ones).

The product of its digits is 64512, while the sum is 37.

The square root of 83234872 is about 9123.3147484892. The cubic root of 83234872 is about 436.6181367766.

It can be divided in two parts, 83 and 234872, that added together give a triangular number (234955 = T₆₈₅).

The spelling of 83234872 in words is "eighty-three million, two hundred thirty-four thousand, eight hundred seventy-two".