114172128 has 72 divisors (see below), whose sum is σ = 371065968. Its totient is φ = 32620032.

The previous prime is 114172109. The next prime is 114172129. The reversal of 114172128 is 821271411.

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114172129) 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 11 ways as a sum of consecutive naturals, for example, 26301 + ... + 30332.

It is an arithmetic number, because the mean of its divisors is an integer number (5153694).

Almost surely, 2^114172128 is an apocalyptic number.

114172128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

114172128 is an abundant number, since it is smaller than the sum of its proper divisors (256893840).

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

114172128 is a wasteful number, since it uses less digits than its factorization.

114172128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56656 (or 56645 counting only the distinct ones).

The product of its digits is 896, while the sum is 27.

The square root of 114172128 is about 10685.1358437785. The cubic root of 114172128 is about 485.1246754973.

The spelling of 114172128 in words is "one hundred fourteen million, one hundred seventy-two thousand, one hundred twenty-eight".