42872 has 16 divisors (see below), whose sum is σ = 84240. Its totient is φ = 20416.

The previous prime is 42863. The next prime is 42899. The reversal of 42872 is 27824.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a plaindrome in base 13.

It is a nialpdrome in base 15.

It is a congruent number.

It is an unprimeable number.

42872 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 3 ways as a sum of consecutive naturals, for example, 68 + ... + 300.

It is an arithmetic number, because the mean of its divisors is an integer number (5265).

2⁴²⁸⁷² is an apocalyptic number.

It is an amenable number.

42872 is a deficient number, since it is larger than the sum of its proper divisors (41368).

42872 is a wasteful number, since it uses less digits than its factorization.

42872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 258 counting only the distinct ones).

The product of its digits is 896, while the sum is 23.

The square root of 42872 is about 207.0555481024. The cubic root of 42872 is about 34.9991836544. Note that the first 3 decimals are identical.

Subtracting from 42872 its sum of digits (23), we obtain a square (42849 = 207²).

The spelling of 42872 in words is "forty-two thousand, eight hundred seventy-two".