89772 has 12 divisors (see below), whose sum is σ = 209496. Its totient is φ = 29920.

The previous prime is 89767. The next prime is 89779. The reversal of 89772 is 27798.

It is a tau number, because it is divible by the number of its divisors (12).

It is not an unprimeable number, because it can be changed into a prime (89779) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3729 + ... + 3752.

It is an arithmetic number, because the mean of its divisors is an integer number (17458).

2⁸⁹⁷⁷² is an apocalyptic number.

It is an amenable number.

89772 is an abundant number, since it is smaller than the sum of its proper divisors (119724).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104748).

89772 is a wasteful number, since it uses less digits than its factorization.

89772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7488 (or 7486 counting only the distinct ones).

The product of its digits is 7056, while the sum is 33.

The square root of 89772 is about 299.6197590280. The cubic root of 89772 is about 44.7761724908.

It can be divided in two parts, 897 and 72, that added together give a palindrome (969).

The spelling of 89772 in words is "eighty-nine thousand, seven hundred seventy-two".