163111872 has 336 divisors, whose sum is σ = 583752960. Its totient is φ = 39198720.

The previous prime is 163111867. The next prime is 163111877. The reversal of 163111872 is 278111361.

163111872 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (163111867) and next prime (163111877).

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (163111877) 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, 2764579 + ... + 2764637.

It is an arithmetic number, because the mean of its divisors is an integer number (1737360).

Almost surely, 2^163111872 is an apocalyptic number.

163111872 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 163111872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291876480).

163111872 is an abundant number, since it is smaller than the sum of its proper divisors (420641088).

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

163111872 is a wasteful number, since it uses less digits than its factorization.

163111872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 99 counting only the distinct ones).

The product of its digits is 2016, while the sum is 30.

The square root of 163111872 is about 12771.5258289681. The cubic root of 163111872 is about 546.3804993087.

The spelling of 163111872 in words is "one hundred sixty-three million, one hundred eleven thousand, eight hundred seventy-two".