115200 has 90 divisors (see below), whose sum is σ = 412269. Its totient is φ = 30720.

The previous prime is 115183. The next prime is 115201. The reversal of 115200 is 2511.

Adding to 115200 its reverse (2511), we get a palindrome (117711).

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Jordan-Polya number, since it can be written as (5!)^{2} ⋅ (2!)^{3}.

It can be written as a sum of positive squares in 2 ways, for example, as 112896 + 2304 = 336^2 + 48^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is an ABA number since it can be written as A⋅B^{A}, here for A=2, B=240.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (115201) by changing a digit.

115200 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 23038 + ... + 23042.

2^{115200} is an apocalyptic number.

115200 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 115200

115200 is an abundant number, since it is smaller than the sum of its proper divisors (297069).

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

115200 is an equidigital number, since it uses as much as digits as its factorization.

115200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 9.

The square root of 115200 is about 339.4112549695. The cubic root of 115200 is about 48.6576159646.

The spelling of 115200 in words is "one hundred fifteen thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 64 72 75 80 90 96 100 120 128 144 150 160 180 192 200 225 240 256 288 300 320 360 384 400 450 480 512 576 600 640 720 768 800 900 960 1152 1200 1280 1440 1536 1600 1800 1920 2304 2400 2560 2880 3200 3600 3840 4608 4800 5760 6400 7200 7680 9600 11520 12800 14400 19200 23040 28800 38400 57600 115200

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