114274272 has 144 divisors (see below), whose sum is σ = 369729360. Its totient is φ = 30707712.

The previous prime is 114274267. The next prime is 114274291. The reversal of 114274272 is 272472411.

It is a super-2 number, since 2×114274272² = 26117218482259968, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 79254 + ... + 80682.

It is an arithmetic number, because the mean of its divisors is an integer number (2567565).

Almost surely, 2^114274272 is an apocalyptic number.

114274272 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 114274272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184864680).

114274272 is an abundant number, since it is smaller than the sum of its proper divisors (255455088).

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

114274272 is a wasteful number, since it uses less digits than its factorization.

114274272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1473 (or 1458 counting only the distinct ones).

The product of its digits is 6272, while the sum is 30.

The square root of 114274272 is about 10689.9144991903. The cubic root of 114274272 is about 485.2693045052.

The spelling of 114274272 in words is "one hundred fourteen million, two hundred seventy-four thousand, two hundred seventy-two".