114672 has 20 divisors (see below), whose sum is σ = 296360. Its totient is φ = 38208.

The previous prime is 114671. The next prime is 114679. The reversal of 114672 is 276411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114671) 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, 1147 + ... + 1242.

It is an arithmetic number, because the mean of its divisors is an integer number (14818).

114672 is a Friedman number, since it can be written as 7*2^14-16, using all its digits and the basic arithmetic operations.

2¹¹⁴⁶⁷² is an apocalyptic number.

114672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

114672 is an abundant number, since it is smaller than the sum of its proper divisors (181688).

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

114672 is a wasteful number, since it uses less digits than its factorization.

114672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2400 (or 2394 counting only the distinct ones).

The product of its digits is 336, while the sum is 21.

The square root of 114672 is about 338.6325442127. The cubic root of 114672 is about 48.5831640781.

The spelling of 114672 in words is "one hundred fourteen thousand, six hundred seventy-two".