83712900 has 72 divisors (see below), whose sum is σ = 243359424. Its totient is φ = 22217600.

The previous prime is 83712899. The next prime is 83712911. The reversal of 83712900 is 921738.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78370 + ... + 79430.

It is an arithmetic number, because the mean of its divisors is an integer number (3379992).

Almost surely, 2^83712900 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 83712900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121679712).

83712900 is an abundant number, since it is smaller than the sum of its proper divisors (159646524).

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

83712900 is a wasteful number, since it uses less digits than its factorization.

83712900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1341 (or 1334 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 83712900 is about 9149.4753947972. The cubic root of 83712900 is about 437.4523920985.

The spelling of 83712900 in words is "eighty-three million, seven hundred twelve thousand, nine hundred".