114072080 has 40 divisors (see below), whose sum is σ = 274368600. Its totient is φ = 44054528.

The previous prime is 114072043. The next prime is 114072083. The reversal of 114072080 is 80270411.

It can be written as a sum of positive squares in 4 ways, for example, as 19749136 + 94322944 = 4444^2 + 9712^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (114072083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22265 + ... + 26904.

It is an arithmetic number, because the mean of its divisors is an integer number (6859215).

Almost surely, 2^114072080 is an apocalyptic number.

114072080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114072080 is an abundant number, since it is smaller than the sum of its proper divisors (160296520).

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

114072080 is a wasteful number, since it uses less digits than its factorization.

114072080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49211 (or 49205 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 23.

The square root of 114072080 is about 10680.4531739061. The cubic root of 114072080 is about 484.9829306353.

The spelling of 114072080 in words is "one hundred fourteen million, seventy-two thousand, eighty".