114307072 has 104 divisors (see below), whose sum is σ = 259490880. Its totient is φ = 49889280.

The previous prime is 114307049. The next prime is 114307087. The reversal of 114307072 is 270703411.

It is a happy number.

It is a super-2 number, since 2×114307072² = 26132213418426368, which contains 22 as substring.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1937379 + ... + 1937437.

Almost surely, 2^114307072 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 114307072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129745440).

114307072 is an abundant number, since it is smaller than the sum of its proper divisors (145183808).

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

114307072 is an equidigital number, since it uses as much as digits as its factorization.

114307072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 25.

The square root of 114307072 is about 10691.4485454498. The cubic root of 114307072 is about 485.3157288090.

The spelling of 114307072 in words is "one hundred fourteen million, three hundred seven thousand, seventy-two".