42792 has 16 divisors (see below), whose sum is σ = 107040. Its totient is φ = 14256.

The previous prime is 42787. The next prime is 42793. The reversal of 42792 is 29724.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 1783 = 42792 / (4 + 2 + 7 + 9 + 2).

It is not an unprimeable number, because it can be changed into a prime (42793) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 868 + ... + 915.

It is an arithmetic number, because the mean of its divisors is an integer number (6690).

2⁴²⁷⁹² is an apocalyptic number.

It is an amenable number.

42792 is an abundant number, since it is smaller than the sum of its proper divisors (64248).

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 (53520).

42792 is a wasteful number, since it uses less digits than its factorization.

42792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1792 (or 1788 counting only the distinct ones).

The product of its digits is 1008, while the sum is 24.

The square root of 42792 is about 206.8622730224. The cubic root of 42792 is about 34.9774003765.

It can be divided in two parts, 4279 and 2, that multiplied together give a palindrome (8558).

The spelling of 42792 in words is "forty-two thousand, seven hundred ninety-two".