117264672 has 240 divisors, whose sum is σ = 412739712. Its totient is φ = 31933440.

The previous prime is 117264647. The next prime is 117264689. The reversal of 117264672 is 276462711.

117264672 is a `hidden beast` number, since 1 + 1 + 7 + 2 + 646 + 7 + 2 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 417172 + ... + 417452.

Almost surely, 2^117264672 is an apocalyptic number.

117264672 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 117264672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206369856).

117264672 is an abundant number, since it is smaller than the sum of its proper divisors (295475040).

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

117264672 is a wasteful number, since it uses less digits than its factorization.

117264672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 316 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 117264672 is about 10828.8813826729. The cubic root of 117264672 is about 489.4658513671.

The spelling of 117264672 in words is "one hundred seventeen million, two hundred sixty-four thousand, six hundred seventy-two".