42732 has 18 divisors (see below), whose sum is σ = 108108. Its totient is φ = 14232.

The previous prime is 42727. The next prime is 42737. The reversal of 42732 is 23724.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (42727) and next prime (42737).

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (42737) by changing a digit.

42732 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 5 ways as a sum of consecutive naturals, for example, 558 + ... + 629.

It is an arithmetic number, because the mean of its divisors is an integer number (6006).

2⁴²⁷³² is an apocalyptic number.

It is an amenable number.

42732 is an abundant number, since it is smaller than the sum of its proper divisors (65376).

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

42732 is a wasteful number, since it uses less digits than its factorization.

42732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1197 (or 1192 counting only the distinct ones).

The product of its digits is 336, while the sum is 18.

The square root of 42732 is about 206.7171981234. The cubic root of 42732 is about 34.9610450948.

The spelling of 42732 in words is "forty-two thousand, seven hundred thirty-two".