83712720 has 160 divisors (see below), whose sum is σ = 319479552. Its totient is φ = 17657856.

The previous prime is 83712703. The next prime is 83712731. The reversal of 83712720 is 2721738.

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 31 ways as a sum of consecutive naturals, for example, 19924 + ... + 23756.

Almost surely, 2^83712720 is an apocalyptic number.

83712720 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83712720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159739776).

83712720 is an abundant number, since it is smaller than the sum of its proper divisors (235766832).

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

83712720 is a wasteful number, since it uses less digits than its factorization.

83712720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3869 (or 3863 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 30.

The square root of 83712720 is about 9149.4655581624. The cubic root of 83712720 is about 437.4520785607.

The spelling of 83712720 in words is "eighty-three million, seven hundred twelve thousand, seven hundred twenty".