114665472 has 72 divisors (see below), whose sum is σ = 331228170. Its totient is φ = 38215680.

The previous prime is 114665461. The next prime is 114665503. The reversal of 114665472 is 274566411.

It can be written as a sum of positive squares in only one way, i.e., 113550336 + 1115136 = 10656^2 + 1056^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 15322 + ... + 21542.

Almost surely, 2^114665472 is an apocalyptic number.

114665472 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 114665472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165614085).

114665472 is an abundant number, since it is smaller than the sum of its proper divisors (216562698).

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

114665472 is an equidigital number, since it uses as much as digits as its factorization.

114665472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6249 (or 6226 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 114665472 is about 10708.1964868039. The cubic root of 114665472 is about 485.8224215325.

The spelling of 114665472 in words is "one hundred fourteen million, six hundred sixty-five thousand, four hundred seventy-two".