115207200 has 108 divisors (see below), whose sum is σ = 406274778. Its totient is φ = 30720000.

The previous prime is 115207187. The next prime is 115207219. The reversal of 115207200 is 2702511.

It can be written as a sum of positive squares in 3 ways, for example, as 102333456 + 12873744 = 10116^2 + 3588^2 .

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 801 + ... + 15200.

Almost surely, 2^115207200 is an apocalyptic number.

115207200 is a gapful number since it is divisible by the number (10) 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 115207200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203137389).

115207200 is an abundant number, since it is smaller than the sum of its proper divisors (291067578).

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

115207200 is a wasteful number, since it uses less digits than its factorization.

115207200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16027 (or 16011 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 115207200 is about 10733.4616969550. The cubic root of 115207200 is about 486.5862964380.

Adding to 115207200 its reverse (2702511), we get a palindrome (117909711).

The spelling of 115207200 in words is "one hundred fifteen million, two hundred seven thousand, two hundred".