114072129 has 24 divisors (see below), whose sum is σ = 168954240. Its totient is φ = 74142432.

The previous prime is 114072103. The next prime is 114072131. The reversal of 114072129 is 921270411.

It is not a de Polignac number, because 114072129 - 2⁸ = 114071873 is a prime.

It is a super-2 number, since 2×114072129² = 26024901229185282, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (114072139) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58047 + ... + 59979.

It is an arithmetic number, because the mean of its divisors is an integer number (7039760).

Almost surely, 2^114072129 is an apocalyptic number.

It is an amenable number.

114072129 is a deficient number, since it is larger than the sum of its proper divisors (54882111).

114072129 is a wasteful number, since it uses less digits than its factorization.

114072129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2101 (or 2098 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 114072129 is about 10680.4554678160. The cubic root of 114072129 is about 484.9830000773.

The spelling of 114072129 in words is "one hundred fourteen million, seventy-two thousand, one hundred twenty-nine".