114247072 has 72 divisors (see below), whose sum is σ = 249586596. Its totient is φ = 51296256.

The previous prime is 114247061. The next prime is 114247073. The reversal of 114247072 is 270742411.

It can be written as a sum of positive squares in 2 ways, for example, as 108076816 + 6170256 = 10396^2 + 2484^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 114247072.

It is not an unprimeable number, because it can be changed into a prime (114247073) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 287578 + ... + 287974.

Almost surely, 2^114247072 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 114247072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124793298).

114247072 is an abundant number, since it is smaller than the sum of its proper divisors (135339524).

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

114247072 is a wasteful number, since it uses less digits than its factorization.

114247072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 28.

The square root of 114247072 is about 10688.6421962754. The cubic root of 114247072 is about 485.2307995637.

Adding to 114247072 its reverse (270742411), we get a palindrome (384989483).

It can be divided in two parts, 11424 and 7072, that added together give a square (18496 = 136²).

The spelling of 114247072 in words is "one hundred fourteen million, two hundred forty-seven thousand, seventy-two".