91752 has 16 divisors (see below), whose sum is σ = 229440. Its totient is φ = 30576.

The previous prime is 91733. The next prime is 91753. The reversal of 91752 is 25719.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 3823 = 91752 / (9 + 1 + 7 + 5 + 2).

It is a plaindrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (91753) by changing a digit.

91752 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 3 ways as a sum of consecutive naturals, for example, 1888 + ... + 1935.

It is an arithmetic number, because the mean of its divisors is an integer number (14340).

2⁹¹⁷⁵² is an apocalyptic number.

It is an amenable number.

91752 is an abundant number, since it is smaller than the sum of its proper divisors (137688).

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 (114720).

91752 is a wasteful number, since it uses less digits than its factorization.

91752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3832 (or 3828 counting only the distinct ones).

The product of its digits is 630, while the sum is 24.

The square root of 91752 is about 302.9059259902. The cubic root of 91752 is about 45.1029740600.

It can be divided in two parts, 917 and 52, that added together give a palindrome (969).

The spelling of 91752 in words is "ninety-one thousand, seven hundred fifty-two".