112772 has 18 divisors (see below), whose sum is σ = 217854. Its totient is φ = 51040.

The previous prime is 112771. The next prime is 112787. The reversal of 112772 is 277211.

112772 is nontrivially palindromic in base 15.

It can be written as a sum of positive squares in only one way, i.e., 81796 + 30976 = 286^2 + 176^2 .

It is not an unprimeable number, because it can be changed into a prime (112771) 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, 368 + ... + 600.

It is an arithmetic number, because the mean of its divisors is an integer number (12103).

2¹¹²⁷⁷² is an apocalyptic number.

It is an amenable number.

112772 is a deficient number, since it is larger than the sum of its proper divisors (105082).

112772 is a wasteful number, since it uses less digits than its factorization.

112772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 246 counting only the distinct ones).

The product of its digits is 196, while the sum is 20.

The square root of 112772 is about 335.8154254944. The cubic root of 112772 is about 48.3133435636.

Adding to 112772 its reverse (277211), we get a palindrome (389983).

The spelling of 112772 in words is "one hundred twelve thousand, seven hundred seventy-two", and thus it is an iban number.