116731872 has 72 divisors (see below), whose sum is σ = 333103680. Its totient is φ = 38776320.

The previous prime is 116731871. The next prime is 116731883. The reversal of 116731872 is 278137611.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116731871) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 117297 + ... + 118287.

It is an arithmetic number, because the mean of its divisors is an integer number (4626440).

Almost surely, 2^116731872 is an apocalyptic number.

116731872 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 116731872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166551840).

116731872 is an abundant number, since it is smaller than the sum of its proper divisors (216371808).

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

116731872 is a wasteful number, since it uses less digits than its factorization.

116731872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1416 (or 1405 counting only the distinct ones).

The product of its digits is 14112, while the sum is 36.

The square root of 116731872 is about 10804.2524961239. The cubic root of 116731872 is about 488.7234186872.

The spelling of 116731872 in words is "one hundred sixteen million, seven hundred thirty-one thousand, eight hundred seventy-two".