114072360 has 64 divisors (see below), whose sum is σ = 342982080. Its totient is φ = 30351360.

The previous prime is 114072359. The next prime is 114072367. The reversal of 114072360 is 63270411.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 114072360.

It is not an unprimeable number, because it can be changed into a prime (114072367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76179 + ... + 77661.

It is an arithmetic number, because the mean of its divisors is an integer number (5359095).

Almost surely, 2^114072360 is an apocalyptic number.

114072360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114072360 is an abundant number, since it is smaller than the sum of its proper divisors (228909720).

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

114072360 is a wasteful number, since it uses less digits than its factorization.

114072360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2138 (or 2134 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 114072360 is about 10680.4662819560. The cubic root of 114072360 is about 484.9833274461.

The spelling of 114072360 in words is "one hundred fourteen million, seventy-two thousand, three hundred sixty".