237632 has 28 divisors (see below), whose sum is σ = 487680. Its totient is φ = 114816.

The previous prime is 237631. The next prime is 237673. The reversal of 237632 is 236732.

237632 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 237598 and 237607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (237631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2969 + ... + 3047.

2²³⁷⁶³² 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 237632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243840).

237632 is an abundant number, since it is smaller than the sum of its proper divisors (250048).

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

237632 is an equidigital number, since it uses as much as digits as its factorization.

237632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 128 counting only the distinct ones).

The product of its digits is 1512, while the sum is 23.

The square root of 237632 is about 487.4751275706. The cubic root of 237632 is about 61.9395873551.

Subtracting from 237632 its reverse (236732), we obtain a square (900 = 30²).

The spelling of 237632 in words is "two hundred thirty-seven thousand, six hundred thirty-two".