114072288 has 48 divisors (see below), whose sum is σ = 326664576. Its totient is φ = 34567040.

The previous prime is 114072269. The next prime is 114072293. The reversal of 114072288 is 882270411.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52956 + ... + 55067.

It is an arithmetic number, because the mean of its divisors is an integer number (6805512).

Almost surely, 2^114072288 is an apocalyptic number.

It is an amenable number.

114072288 is an abundant number, since it is smaller than the sum of its proper divisors (212592288).

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

114072288 is a wasteful number, since it uses less digits than its factorization.

114072288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108047 (or 108039 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 33.

The square root of 114072288 is about 10680.4629113162. The cubic root of 114072288 is about 484.9832254091.

It can be divided in two parts, 11407 and 2288, that added together give a triangular number (13695 = T₁₆₅).

The spelling of 114072288 in words is "one hundred fourteen million, seventy-two thousand, two hundred eighty-eight".