115668672 has 112 divisors (see below), whose sum is σ = 354055680. Its totient is φ = 32643072.

The previous prime is 115668671. The next prime is 115668703. The reversal of 115668672 is 276866511.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (115668671) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 119133 + ... + 120099.

Almost surely, 2^115668672 is an apocalyptic number.

115668672 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 115668672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177027840).

115668672 is an abundant number, since it is smaller than the sum of its proper divisors (238387008).

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

115668672 is an equidigital number, since it uses as much as digits as its factorization.

115668672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1078 (or 1068 counting only the distinct ones).

The product of its digits is 120960, while the sum is 42.

The square root of 115668672 is about 10754.9370988398. The cubic root of 115668672 is about 487.2351181677.

The spelling of 115668672 in words is "one hundred fifteen million, six hundred sixty-eight thousand, six hundred seventy-two".