114200736 has 72 divisors (see below), whose sum is σ = 324656640. Its totient is φ = 35133696.

The previous prime is 114200707. The next prime is 114200761. The reversal of 114200736 is 637002411.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 11 ways as a sum of consecutive naturals, for example, 12705 + ... + 19743.

It is an arithmetic number, because the mean of its divisors is an integer number (4509120).

Almost surely, 2^114200736 is an apocalyptic number.

114200736 is a gapful number since it is divisible by the number (16) 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 114200736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162328320).

114200736 is an abundant number, since it is smaller than the sum of its proper divisors (210455904).

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

114200736 is a wasteful number, since it uses less digits than its factorization.

114200736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7078 (or 7057 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 114200736 is about 10686.4744420225. The cubic root of 114200736 is about 485.1651911875.

The spelling of 114200736 in words is "one hundred fourteen million, two hundred thousand, seven hundred thirty-six".