116718672 has 160 divisors (see below), whose sum is σ = 371404800. Its totient is φ = 30841344.

The previous prime is 116718671. The next prime is 116718713. The reversal of 116718672 is 276817611.

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

It is a self number, because there is not a number n which added to its sum of digits gives 116718672.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116718671) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 299854 + ... + 300242.

It is an arithmetic number, because the mean of its divisors is an integer number (2321280).

Almost surely, 2^116718672 is an apocalyptic number.

116718672 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 116718672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185702400).

116718672 is an abundant number, since it is smaller than the sum of its proper divisors (254686128).

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

116718672 is a wasteful number, since it uses less digits than its factorization.

116718672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 467 counting only the distinct ones).

The product of its digits is 28224, while the sum is 39.

The square root of 116718672 is about 10803.6416082726. The cubic root of 116718672 is about 488.7049964340.

It can be divided in two parts, 1167 and 18672, that multiplied together give a square (21790224 = 4668²).

The spelling of 116718672 in words is "one hundred sixteen million, seven hundred eighteen thousand, six hundred seventy-two".