114072084 has 48 divisors (see below), whose sum is σ = 337993600. Its totient is φ = 32591808.

The previous prime is 114072083. The next prime is 114072089. The reversal of 114072084 is 480270411.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74689 + ... + 76200.

Almost surely, 2^114072084 is an apocalyptic number.

114072084 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

114072084 is an abundant number, since it is smaller than the sum of its proper divisors (223921516).

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

114072084 is a wasteful number, since it uses less digits than its factorization.

114072084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150909 (or 150901 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 114072084 is about 10680.4533611640. The cubic root of 114072084 is about 484.9829363040.

The spelling of 114072084 in words is "one hundred fourteen million, seventy-two thousand, eighty-four".