108732 has 48 divisors (see below), whose sum is σ = 296352. Its totient is φ = 30720.

The previous prime is 108727. The next prime is 108739. The reversal of 108732 is 237801.

It is a plaindrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 108699 and 108708.

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 108732.

It is not an unprimeable number, because it can be changed into a prime (108739) by changing a digit.

108732 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 15 ways as a sum of consecutive naturals, for example, 2632 + ... + 2672.

It is an arithmetic number, because the mean of its divisors is an integer number (6174).

2¹⁰⁸⁷³² is an apocalyptic number.

108732 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 108732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148176).

108732 is an abundant number, since it is smaller than the sum of its proper divisors (187620).

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

108732 is a wasteful number, since it uses less digits than its factorization.

108732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 108732 is about 329.7453562979. The cubic root of 108732 is about 47.7293799111.

The spelling of 108732 in words is "one hundred eight thousand, seven hundred thirty-two".