42272 has 12 divisors (see below), whose sum is σ = 83286. Its totient is φ = 21120.

The previous prime is 42257. The next prime is 42281. The reversal of 42272 is 27224.

It can be written as a sum of positive squares in only one way, i.e., 26896 + 15376 = 164^2 + 124^2 .

It is a Smith number, since the sum of its digits (17) coincides with the sum of the digits of its prime factors.

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 42272.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 42272.

It is an unprimeable number.

42272 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 629 + ... + 692.

2⁴²²⁷² is an apocalyptic number.

It is an amenable number.

42272 is a deficient number, since it is larger than the sum of its proper divisors (41014).

42272 is a wasteful number, since it uses less digits than its factorization.

42272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1331 (or 1323 counting only the distinct ones).

The product of its digits is 224, while the sum is 17.

The square root of 42272 is about 205.6015564143. The cubic root of 42272 is about 34.8351430778.

Adding to 42272 its reverse (27224), we get a palindrome (69496).

It can be divided in two parts, 422 and 72, that added together give a palindrome (494).

The spelling of 42272 in words is "forty-two thousand, two hundred seventy-two", and thus it is an iban number.