114826272 has 192 divisors, whose sum is σ = 355622400. Its totient is φ = 32071680.

The previous prime is 114826259. The next prime is 114826273. The reversal of 114826272 is 272628411.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114826273) 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, 1183728 + ... + 1183824.

It is an arithmetic number, because the mean of its divisors is an integer number (1852200).

Almost surely, 2^114826272 is an apocalyptic number.

114826272 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 114826272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177811200).

114826272 is an abundant number, since it is smaller than the sum of its proper divisors (240796128).

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

114826272 is a wasteful number, since it uses less digits than its factorization.

114826272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 191 counting only the distinct ones).

The product of its digits is 10752, while the sum is 33.

The square root of 114826272 is about 10715.7021235195. The cubic root of 114826272 is about 486.0494115624.

The spelling of 114826272 in words is "one hundred fourteen million, eight hundred twenty-six thousand, two hundred seventy-two".