42032 has 20 divisors (see below), whose sum is σ = 84816. Its totient is φ = 20160.

The previous prime is 42023. The next prime is 42043. The reversal of 42032 is 23024.

It is a nialpdrome in base 16.

It is an unprimeable number.

42032 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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, 557 + ... + 627.

2⁴²⁰³² is an apocalyptic number.

It is an amenable number.

42032 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (42408).

42032 is a wasteful number, since it uses less digits than its factorization.

42032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 11.

The square root of 42032 is about 205.0170724598. The cubic root of 42032 is about 34.7690922120.

Adding to 42032 its reverse (23024), we get a palindrome (65056).

It can be divided in two parts, 4 and 2032, that multiplied together give a triangular number (8128 = T₁₂₇).

The spelling of 42032 in words is "forty-two thousand, thirty-two", and thus it is an eban number.