117516672 has 384 divisors, whose sum is σ = 445536000. Its totient is φ = 28864512.

The previous prime is 117516647. The next prime is 117516697. The reversal of 117516672 is 276615711.

It is an interprime number because it is at equal distance from previous prime (117516647) and next prime (117516697).

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1991779 + ... + 1991837.

It is an arithmetic number, because the mean of its divisors is an integer number (1160250).

Almost surely, 2^117516672 is an apocalyptic number.

117516672 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 117516672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222768000).

117516672 is an abundant number, since it is smaller than the sum of its proper divisors (328019328).

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

117516672 is a wasteful number, since it uses less digits than its factorization.

117516672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 103 counting only the distinct ones).

The product of its digits is 17640, while the sum is 36.

The square root of 117516672 is about 10840.5106890773. The cubic root of 117516672 is about 489.8162187368.

The spelling of 117516672 in words is "one hundred seventeen million, five hundred sixteen thousand, six hundred seventy-two".