114252732 has 144 divisors (see below), whose sum is σ = 334623744. Its totient is φ = 32544000.

The previous prime is 114252727. The next prime is 114252739. The reversal of 114252732 is 237252411.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 114252696 and 114252705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114252739) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 503203 + ... + 503429.

It is an arithmetic number, because the mean of its divisors is an integer number (2323776).

Almost surely, 2^114252732 is an apocalyptic number.

114252732 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 114252732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167311872).

114252732 is an abundant number, since it is smaller than the sum of its proper divisors (220371012).

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

114252732 is a wasteful number, since it uses less digits than its factorization.

114252732 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 315 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 114252732 is about 10688.9069600217. The cubic root of 114252732 is about 485.2388124926.

The spelling of 114252732 in words is "one hundred fourteen million, two hundred fifty-two thousand, seven hundred thirty-two".