114076032 has 192 divisors, whose sum is σ = 367395840. Its totient is φ = 30689280.

The previous prime is 114076013. The next prime is 114076073. The reversal of 114076032 is 230670411.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a junction number, because it is equal to n+sod(n) for n = 114075993 and 114076011.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 3083118 + ... + 3083154.

It is an arithmetic number, because the mean of its divisors is an integer number (1913520).

Almost surely, 2^114076032 is an apocalyptic number.

114076032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114076032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183697920).

114076032 is an abundant number, since it is smaller than the sum of its proper divisors (253319808).

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

114076032 is an equidigital number, since it uses as much as digits as its factorization.

114076032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 80 counting only the distinct ones).

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

The square root of 114076032 is about 10680.6381831799. The cubic root of 114076032 is about 484.9885312766.

The spelling of 114076032 in words is "one hundred fourteen million, seventy-six thousand, thirty-two".