114538072 has 32 divisors (see below), whose sum is σ = 236451600. Its totient is φ = 51580800.

The previous prime is 114538069. The next prime is 114538079. The reversal of 114538072 is 270835411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114538079) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3622 + ... + 15562.

Almost surely, 2^114538072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114538072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118225800).

114538072 is an abundant number, since it is smaller than the sum of its proper divisors (121913528).

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

114538072 is a wasteful number, since it uses less digits than its factorization.

114538072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12067 (or 12063 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 31.

The square root of 114538072 is about 10702.2461193901. The cubic root of 114538072 is about 485.6424292119.

The spelling of 114538072 in words is "one hundred fourteen million, five hundred thirty-eight thousand, seventy-two".