114958272 has 224 divisors, whose sum is σ = 368686080. Its totient is φ = 31150080.

The previous prime is 114958271. The next prime is 114958273. The reversal of 114958272 is 272859411.

It is an interprime number because it is at equal distance from previous prime (114958271) and next prime (114958273).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 114958272.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114958271) 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, 1455129 + ... + 1455207.

It is an arithmetic number, because the mean of its divisors is an integer number (1645920).

Almost surely, 2^114958272 is an apocalyptic number.

114958272 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 114958272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184343040).

114958272 is an abundant number, since it is smaller than the sum of its proper divisors (253727808).

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

114958272 is a wasteful number, since it uses less digits than its factorization.

114958272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 161 counting only the distinct ones).

The product of its digits is 40320, while the sum is 39.

The square root of 114958272 is about 10721.8595402104. The cubic root of 114958272 is about 486.2355883323.

The spelling of 114958272 in words is "one hundred fourteen million, nine hundred fifty-eight thousand, two hundred seventy-two".