116811072 has 336 divisors, whose sum is σ = 421599360. Its totient is φ = 31352832.

The previous prime is 116811053. The next prime is 116811073. The reversal of 116811072 is 270118611.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116811073) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 3157038 + ... + 3157074.

It is an arithmetic number, because the mean of its divisors is an integer number (1254760).

Almost surely, 2^116811072 is an apocalyptic number.

116811072 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 116811072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210799680).

116811072 is an abundant number, since it is smaller than the sum of its proper divisors (304788288).

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

116811072 is an equidigital number, since it uses as much as digits as its factorization.

116811072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 27.

The square root of 116811072 is about 10807.9170981276. The cubic root of 116811072 is about 488.8339230521.

Adding to 116811072 its reverse (270118611), we get a palindrome (386929683).

The spelling of 116811072 in words is "one hundred sixteen million, eight hundred eleven thousand, seventy-two".