114100272 has 160 divisors (see below), whose sum is σ = 384975360. Its totient is φ = 31898880.

The previous prime is 114100271. The next prime is 114100289. The reversal of 114100272 is 272001411.

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

It is not an unprimeable number, because it can be changed into a prime (114100271) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60853 + ... + 62699.

It is an arithmetic number, because the mean of its divisors is an integer number (2406096).

Almost surely, 2^114100272 is an apocalyptic number.

114100272 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 114100272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192487680).

114100272 is an abundant number, since it is smaller than the sum of its proper divisors (270875088).

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

114100272 is a wasteful number, since it uses less digits than its factorization.

114100272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1888 (or 1876 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 114100272 is about 10681.7728865577. The cubic root of 114100272 is about 485.0228805587.

Adding to 114100272 its reverse (272001411), we get a palindrome (386101683).

The spelling of 114100272 in words is "one hundred fourteen million, one hundred thousand, two hundred seventy-two".