114133272 has 32 divisors (see below), whose sum is σ = 311273280. Its totient is φ = 34585760.

The previous prime is 114133267. The next prime is 114133297. The reversal of 114133272 is 272331411.

It is a happy number.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 215898 + ... + 216425.

It is an arithmetic number, because the mean of its divisors is an integer number (9727290).

Almost surely, 2^114133272 is an apocalyptic number.

114133272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

114133272 is an abundant number, since it is smaller than the sum of its proper divisors (197140008).

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

114133272 is a wasteful number, since it uses less digits than its factorization.

114133272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432343 (or 432339 counting only the distinct ones).

The product of its digits is 1008, while the sum is 24.

The square root of 114133272 is about 10683.3174622867. The cubic root of 114133272 is about 485.0696353764.

Adding to 114133272 its reverse (272331411), we get a palindrome (386464683).

It can be divided in two parts, 114 and 133272, that added together give a triangular number (133386 = T₅₁₆).

The spelling of 114133272 in words is "one hundred fourteen million, one hundred thirty-three thousand, two hundred seventy-two".