89752 has 16 divisors (see below), whose sum is σ = 181440. Its totient is φ = 41376.

The previous prime is 89689. The next prime is 89753. The reversal of 89752 is 25798.

89752 is nontrivially palindromic in base 12.

It is a plaindrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89753) 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, 328 + ... + 535.

It is an arithmetic number, because the mean of its divisors is an integer number (11340).

2⁸⁹⁷⁵² is an apocalyptic number.

It is an amenable number.

89752 is an abundant number, since it is smaller than the sum of its proper divisors (91688).

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 (90720).

89752 is a wasteful number, since it uses less digits than its factorization.

89752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 882 (or 878 counting only the distinct ones).

The product of its digits is 5040, while the sum is 31.

The square root of 89752 is about 299.5863815329. The cubic root of 89752 is about 44.7728470666.

It can be divided in two parts, 897 and 52, that added together give a palindrome (949).

The spelling of 89752 in words is "eighty-nine thousand, seven hundred fifty-two".