42532 has 24 divisors (see below), whose sum is σ = 89600. Its totient is φ = 17640.

The previous prime is 42509. The next prime is 42533. The reversal of 42532 is 23524.

Its product of digits (240) is a multiple of the sum of its prime divisors (40).

It is not an unprimeable number, because it can be changed into a prime (42533) by changing a digit.

42532 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 7 ways as a sum of consecutive naturals, for example, 1357 + ... + 1387.

2⁴²⁵³² 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 42532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44800).

42532 is an abundant number, since it is smaller than the sum of its proper divisors (47068).

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

42532 is a wasteful number, since it uses less digits than its factorization.

42532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56 (or 40 counting only the distinct ones).

The product of its digits is 240, while the sum is 16.

The square root of 42532 is about 206.2328780772. The cubic root of 42532 is about 34.9064166657.

The spelling of 42532 in words is "forty-two thousand, five hundred thirty-two".