114694272 has 256 divisors, whose sum is σ = 423014400. Its totient is φ = 29721600.

The previous prime is 114694271. The next prime is 114694301. The reversal of 114694272 is 272496411.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is not an unprimeable number, because it can be changed into a prime (114694271) 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, 265897 + ... + 266327.

It is an arithmetic number, because the mean of its divisors is an integer number (1652400).

Almost surely, 2^114694272 is an apocalyptic number.

114694272 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 114694272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211507200).

114694272 is an abundant number, since it is smaller than the sum of its proper divisors (308320128).

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

114694272 is a wasteful number, since it uses less digits than its factorization.

114694272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 454 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 114694272 is about 10709.5411666420. The cubic root of 114694272 is about 485.8630920565.

The spelling of 114694272 in words is "one hundred fourteen million, six hundred ninety-four thousand, two hundred seventy-two".