116508672 has 288 divisors, whose sum is σ = 410810400. Its totient is φ = 32514048.

The previous prime is 116508653. The next prime is 116508673. The reversal of 116508672 is 276805611.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (116508673) 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, 2709483 + ... + 2709525.

It is an arithmetic number, because the mean of its divisors is an integer number (1426425).

Almost surely, 2^116508672 is an apocalyptic number.

116508672 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 116508672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205405200).

116508672 is an abundant number, since it is smaller than the sum of its proper divisors (294301728).

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

116508672 is an equidigital number, since it uses as much as digits as its factorization.

116508672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 116508672 is about 10793.9182876285. The cubic root of 116508672 is about 488.4117281321.

The spelling of 116508672 in words is "one hundred sixteen million, five hundred eight thousand, six hundred seventy-two".