114432 has 36 divisors (see below), whose sum is σ = 306600. Its totient is φ = 37888.

The previous prime is 114419. The next prime is 114451. The reversal of 114432 is 234411.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

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 114432.

It is an unprimeable number.

114432 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, 694 + ... + 842.

2¹¹⁴⁴³² is an apocalyptic number.

114432 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 114432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153300).

114432 is an abundant number, since it is smaller than the sum of its proper divisors (192168).

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

114432 is an equidigital number, since it uses as much as digits as its factorization.

114432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 154 counting only the distinct ones).

The product of its digits is 96, while the sum is 15.

The square root of 114432 is about 338.2779921899. The cubic root of 114432 is about 48.5492467507.

Adding to 114432 its reverse (234411), we get a palindrome (348843).

It can be divided in two parts, 1144 and 32, that added together give a triangular number (1176 = T₄₈).

The spelling of 114432 in words is "one hundred fourteen thousand, four hundred thirty-two".