115416672 has 96 divisors (see below), whose sum is σ = 366653952. Its totient is φ = 31033344.

The previous prime is 115416611. The next prime is 115416673. The reversal of 115416672 is 276614511.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115416673) 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, 6373 + ... + 16475.

It is an arithmetic number, because the mean of its divisors is an integer number (3819312).

Almost surely, 2^115416672 is an apocalyptic number.

115416672 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 115416672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183326976).

115416672 is an abundant number, since it is smaller than the sum of its proper divisors (251237280).

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

115416672 is a wasteful number, since it uses less digits than its factorization.

115416672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10140 (or 10132 counting only the distinct ones).

The product of its digits is 10080, while the sum is 33.

The square root of 115416672 is about 10743.2151612076. The cubic root of 115416672 is about 486.8810248123.

The spelling of 115416672 in words is "one hundred fifteen million, four hundred sixteen thousand, six hundred seventy-two".