42972 has 12 divisors (see below), whose sum is σ = 100296. Its totient is φ = 14320.

The previous prime is 42967. The next prime is 42979. The reversal of 42972 is 27924.

42972 is nontrivially palindromic in base 9.

It is a tau number, because it is divible by the number of its divisors (12).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42979) by changing a digit.

42972 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, 1779 + ... + 1802.

It is an arithmetic number, because the mean of its divisors is an integer number (8358).

2⁴²⁹⁷² is an apocalyptic number.

It is an amenable number.

42972 is an abundant number, since it is smaller than the sum of its proper divisors (57324).

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 (50148).

42972 is a wasteful number, since it uses less digits than its factorization.

42972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3588 (or 3586 counting only the distinct ones).

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

The square root of 42972 is about 207.2968885439. The cubic root of 42972 is about 35.0263746779.

The spelling of 42972 in words is "forty-two thousand, nine hundred seventy-two".