115072 has 32 divisors (see below), whose sum is σ = 244800. Its totient is φ = 53760.

The previous prime is 115067. The next prime is 115079. The reversal of 115072 is 270511.

115072 is nontrivially palindromic in base 3.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115079) by changing a digit.

115072 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3697 + ... + 3727.

It is an arithmetic number, because the mean of its divisors is an integer number (7650).

2¹¹⁵⁰⁷² 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 115072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122400).

115072 is an abundant number, since it is smaller than the sum of its proper divisors (129728).

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

115072 is an equidigital number, since it uses as much as digits as its factorization.

115072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 16.

The square root of 115072 is about 339.2226407538. Note that the first 3 decimals coincide. The cubic root of 115072 is about 48.6395879466.

Adding to 115072 its reverse (270511), we get a palindrome (385583).

The spelling of 115072 in words is "one hundred fifteen thousand, seventy-two".