114536072 has 64 divisors (see below), whose sum is σ = 268323840. Its totient is φ = 44697600.

The previous prime is 114536033. The next prime is 114536111. The reversal of 114536072 is 270635411.

It is an interprime number because it is at equal distance from previous prime (114536033) and next prime (114536111).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27572 + ... + 31452.

It is an arithmetic number, because the mean of its divisors is an integer number (4192560).

Almost surely, 2^114536072 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 114536072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134161920).

114536072 is an abundant number, since it is smaller than the sum of its proper divisors (153787768).

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

114536072 is a wasteful number, since it uses less digits than its factorization.

114536072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3942 (or 3938 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 114536072 is about 10702.1526806526. The cubic root of 114536072 is about 485.6396025229.

The spelling of 114536072 in words is "one hundred fourteen million, five hundred thirty-six thousand, seventy-two".