115272 has 24 divisors (see below), whose sum is σ = 312390. Its totient is φ = 38400.

The previous prime is 115259. The next prime is 115279. The reversal of 115272 is 272511.

It can be written as a sum of positive squares in only one way, i.e., 60516 + 54756 = 246^2 + 234^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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

It is a zygodrome in base 7.

It is not an unprimeable number, because it can be changed into a prime (115279) by changing a digit.

115272 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 5 ways as a sum of consecutive naturals, for example, 729 + ... + 872.

2¹¹⁵²⁷² is an apocalyptic number.

115272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

115272 is an abundant number, since it is smaller than the sum of its proper divisors (197118).

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

115272 is a wasteful number, since it uses less digits than its factorization.

115272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1613 (or 1606 counting only the distinct ones).

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

The square root of 115272 is about 339.5173044191. The cubic root of 115272 is about 48.6677508568.

Adding to 115272 its reverse (272511), we get a palindrome (387783).

It can be divided in two parts, 1152 and 72, that multiplied together give a square (82944 = 288²).

The spelling of 115272 in words is "one hundred fifteen thousand, two hundred seventy-two".