114114072 has 64 divisors (see below), whose sum is σ = 297676800. Its totient is φ = 36408960.

The previous prime is 114114071. The next prime is 114114097. The reversal of 114114072 is 270411411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114114071) 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, 87747 + ... + 89037.

It is an arithmetic number, because the mean of its divisors is an integer number (4651200).

Almost surely, 2^114114072 is an apocalyptic number.

114114072 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 114114072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148838400).

114114072 is an abundant number, since it is smaller than the sum of its proper divisors (183562728).

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

114114072 is a wasteful number, since it uses less digits than its factorization.

114114072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1456 (or 1452 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 21.

The square root of 114114072 is about 10682.4188272132. The cubic root of 114114072 is about 485.0424336699.

Adding to 114114072 its reverse (270411411), we get a palindrome (384525483).

The spelling of 114114072 in words is "one hundred fourteen million, one hundred fourteen thousand, seventy-two".