111272 has 16 divisors (see below), whose sum is σ = 238560. Its totient is φ = 47664.

The previous prime is 111271. The next prime is 111301. The reversal of 111272 is 272111.

111272 is nontrivially palindromic in base 11.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 111272.

It is not an unprimeable number, because it can be changed into a prime (111271) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 938 + ... + 1049.

It is an arithmetic number, because the mean of its divisors is an integer number (14910).

2¹¹¹²⁷² is an apocalyptic number.

It is an amenable number.

111272 is an abundant number, since it is smaller than the sum of its proper divisors (127288).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

111272 is a wasteful number, since it uses less digits than its factorization.

111272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2000 (or 1996 counting only the distinct ones).

The product of its digits is 28, while the sum is 14.

The square root of 111272 is about 333.5745793672. The cubic root of 111272 is about 48.0981786791.

Adding to 111272 its reverse (272111), we get a palindrome (383383).

It can be divided in two parts, 111 and 272, that added together give a palindrome (383).

The spelling of 111272 in words is "one hundred eleven thousand, two hundred seventy-two", and thus it is an iban number.