114272032 has 48 divisors (see below), whose sum is σ = 261358272. Its totient is φ = 48165120.

The previous prime is 114272029. The next prime is 114272063. The reversal of 114272032 is 230272411.

It is a junction number, because it is equal to n+sod(n) for n = 114271994 and 114272012.

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, 9483 + ... + 17845.

It is an arithmetic number, because the mean of its divisors is an integer number (5444964).

Almost surely, 2^114272032 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 114272032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130679136).

114272032 is an abundant number, since it is smaller than the sum of its proper divisors (147086240).

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

114272032 is an equidigital number, since it uses as much as digits as its factorization.

114272032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8441 (or 8433 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 114272032 is about 10689.8097270251. The cubic root of 114272032 is about 485.2661337409.

The spelling of 114272032 in words is "one hundred fourteen million, two hundred seventy-two thousand, thirty-two".