42192 has 30 divisors (see below), whose sum is σ = 118482. Its totient is φ = 14016.

The previous prime is 42187. The next prime is 42193. The reversal of 42192 is 29124.

42192 is nontrivially palindromic in base 5 and base 15.

It can be written as a sum of positive squares in only one way, i.e., 41616 + 576 = 204^2 + 24^2 .

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

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 an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42193) by changing a digit.

42192 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, 3 + ... + 290.

2⁴²¹⁹² 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 42192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59241).

42192 is an abundant number, since it is smaller than the sum of its proper divisors (76290).

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

42192 is a wasteful number, since it uses less digits than its factorization.

42192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 298 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 42192 is about 205.4069132235. The cubic root of 42192 is about 34.8131539651.

The spelling of 42192 in words is "forty-two thousand, one hundred ninety-two".