89712 has 60 divisors (see below), whose sum is σ = 290160. Its totient is φ = 25344.

The previous prime is 89689. The next prime is 89753. The reversal of 89712 is 21798.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is one of the 548 Lynch-Bell numbers.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 89712.

It is an unprimeable number.

89712 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 964 + ... + 1052.

It is an arithmetic number, because the mean of its divisors is an integer number (4836).

2⁸⁹⁷¹² 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 89712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145080).

89712 is an abundant number, since it is smaller than the sum of its proper divisors (200448).

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

89712 is a wasteful number, since it uses less digits than its factorization.

89712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 101 counting only the distinct ones).

The product of its digits is 1008, while the sum is 27.

The square root of 89712 is about 299.5196153844. The cubic root of 89712 is about 44.7661947357.

It can be divided in two parts, 897 and 12, that added together give a palindrome (909).

The spelling of 89712 in words is "eighty-nine thousand, seven hundred twelve".