181272168 has 288 divisors, whose sum is σ = 649827360. Its totient is φ = 46811520.

The previous prime is 181272151. The next prime is 181272187. The reversal of 181272168 is 861272181.

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

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1047730 + ... + 1047902.

It is an arithmetic number, because the mean of its divisors is an integer number (2256345).

Almost surely, 2^181272168 is an apocalyptic number.

181272168 is a gapful number since it is divisible by the number (18) 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 181272168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324913680).

181272168 is an abundant number, since it is smaller than the sum of its proper divisors (468555192).

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

181272168 is a wasteful number, since it uses less digits than its factorization.

181272168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 196 counting only the distinct ones).

The product of its digits is 10752, while the sum is 36.

The square root of 181272168 is about 13463.7352915155. The cubic root of 181272168 is about 565.9486691120.

The spelling of 181272168 in words is "one hundred eighty-one million, two hundred seventy-two thousand, one hundred sixty-eight".