114873472 has 128 divisors (see below), whose sum is σ = 277603200. Its totient is φ = 46325760.

The previous prime is 114873469. The next prime is 114873481. The reversal of 114873472 is 274378411.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1946979 + ... + 1947037.

It is an arithmetic number, because the mean of its divisors is an integer number (2168775).

Almost surely, 2^114873472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114873472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138801600).

114873472 is an abundant number, since it is smaller than the sum of its proper divisors (162729728).

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

114873472 is an equidigital number, since it uses as much as digits as its factorization.

114873472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 162 counting only the distinct ones).

The product of its digits is 37632, while the sum is 37.

The square root of 114873472 is about 10717.9042727578. The cubic root of 114873472 is about 486.1160002420.

It can be divided in two parts, 1148 and 73472, that multiplied together give a square (84345856 = 9184²).

The spelling of 114873472 in words is "one hundred fourteen million, eight hundred seventy-three thousand, four hundred seventy-two".