115191072 has 120 divisors (see below), whose sum is σ = 356756400. Its totient is φ = 36360576.

The previous prime is 115191059. The next prime is 115191077. The reversal of 115191072 is 270191511.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (115191077) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 48079 + ... + 50417.

It is an arithmetic number, because the mean of its divisors is an integer number (2972970).

Almost surely, 2^115191072 is an apocalyptic number.

115191072 is a gapful number since it is divisible by the number (12) 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 115191072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178378200).

115191072 is an abundant number, since it is smaller than the sum of its proper divisors (241565328).

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

115191072 is a wasteful number, since it uses less digits than its factorization.

115191072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2380 (or 2363 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 27.

The square root of 115191072 is about 10732.7103752966. The cubic root of 115191072 is about 486.5635894370.

The spelling of 115191072 in words is "one hundred fifteen million, one hundred ninety-one thousand, seventy-two".