42772 has 18 divisors (see below), whose sum is σ = 81662. Its totient is φ = 19584.

The previous prime is 42767. The next prime is 42773. The reversal of 42772 is 27724.

It can be written as a sum of positive squares in 3 ways, for example, as 26896 + 15876 = 164^2 + 126^2 .

Its product of digits (784) is a multiple of the sum of its prime divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42773) 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 5 ways as a sum of consecutive naturals, for example, 1138 + ... + 1174.

2⁴²⁷⁷² is an apocalyptic number.

It is an amenable number.

42772 is a deficient number, since it is larger than the sum of its proper divisors (38890).

42772 is a wasteful number, since it uses less digits than its factorization.

42772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 56 counting only the distinct ones).

The product of its digits is 784, while the sum is 22.

The square root of 42772 is about 206.8139260301. The cubic root of 42772 is about 34.9719503156.

The spelling of 42772 in words is "forty-two thousand, seven hundred seventy-two", and thus it is an iban number.