89792 has 28 divisors (see below), whose sum is σ = 188976. Its totient is φ = 42240.

The previous prime is 89783. The next prime is 89797. The reversal of 89792 is 29798.

It is not an unprimeable number, because it can be changed into a prime (89797) 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, 1442 + ... + 1502.

2⁸⁹⁷⁹² 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 89792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94488).

89792 is an abundant number, since it is smaller than the sum of its proper divisors (99184).

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

89792 is a wasteful number, since it uses less digits than its factorization.

89792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 86 counting only the distinct ones).

The product of its digits is 9072, while the sum is 35.

The square root of 89792 is about 299.6531328052. The cubic root of 89792 is about 44.7794974212.

It can be divided in two parts, 897 and 92, that added together give a palindrome (989).

The spelling of 89792 in words is "eighty-nine thousand, seven hundred ninety-two".