114772 has 12 divisors (see below), whose sum is σ = 229600. Its totient is φ = 49176.

The previous prime is 114769. The next prime is 114773. The reversal of 114772 is 277411.

114772 is an admirable number.

It is a super-2 number, since 2×114772² = 26345223968, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is a nialpdrome in base 7.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 114772.

It is not an unprimeable number, because it can be changed into a prime (114773) 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, 2022 + ... + 2077.

114772 is a Friedman number, since it can be written as 7*(4^7+12*1), using all its digits and the basic arithmetic operations.

2¹¹⁴⁷⁷² is an apocalyptic number.

It is an amenable number.

114772 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

114772 is a wasteful number, since it uses less digits than its factorization.

114772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4110 (or 4108 counting only the distinct ones).

The product of its digits is 392, while the sum is 22.

The square root of 114772 is about 338.7801647086. The cubic root of 114772 is about 48.5972823309.

The spelling of 114772 in words is "one hundred fourteen thousand, seven hundred seventy-two", and thus it is an iban number.