114007032 has 72 divisors (see below), whose sum is σ = 328060200. Its totient is φ = 35760384.

The previous prime is 114006979. The next prime is 114007037. The reversal of 114007032 is 230700411.

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

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 114006996 and 114007014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114007037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 18069 + ... + 23547.

Almost surely, 2^114007032 is an apocalyptic number.

114007032 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 114007032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164030100).

114007032 is an abundant number, since it is smaller than the sum of its proper divisors (214053168).

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

114007032 is a wasteful number, since it uses less digits than its factorization.

114007032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5525 (or 5501 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 114007032 is about 10677.4075505246. The cubic root of 114007032 is about 484.8907282079.

Adding to 114007032 its reverse (230700411), we get a palindrome (344707443).

The spelling of 114007032 in words is "one hundred fourteen million, seven thousand, thirty-two".