115140672 has 168 divisors, whose sum is σ = 350078040. Its totient is φ = 36126720.

The previous prime is 115140661. The next prime is 115140673. The reversal of 115140672 is 276041511.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 5645376 + 109495296 = 2376^2 + 10464^2 .

It is a super-3 number, since 3×115140672³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (115140673) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1018888 + ... + 1019000.

Almost surely, 2^115140672 is an apocalyptic number.

115140672 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 115140672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175039020).

115140672 is an abundant number, since it is smaller than the sum of its proper divisors (234937368).

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

115140672 is a wasteful number, since it uses less digits than its factorization.

115140672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 115140672 is about 10730.3621560505. The cubic root of 115140672 is about 486.4926163952.

The spelling of 115140672 in words is "one hundred fifteen million, one hundred forty thousand, six hundred seventy-two".