272166120 has 96 divisors (see below), whose sum is σ = 888493320. Its totient is φ = 72253440.

The previous prime is 272166109. The next prime is 272166121. The reversal of 272166120 is 21661272.

272166120 is a `hidden beast` number, since 27 + 21 + 6 + 612 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 271656324 + 509796 = 16482^2 + 714^2 .

It is not an unprimeable number, because it can be changed into a prime (272166121) 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 23 ways as a sum of consecutive naturals, for example, 85192 + ... + 88328.

Almost surely, 2^272166120 is an apocalyptic number.

272166120 is a gapful number since it is divisible by the number (20) 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 272166120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444246660).

272166120 is an abundant number, since it is smaller than the sum of its proper divisors (616327200).

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

272166120 is a wasteful number, since it uses less digits than its factorization.

272166120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3395 (or 3388 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 272166120 is about 16497.4579860050. The cubic root of 272166120 is about 648.0542364297.

The spelling of 272166120 in words is "two hundred seventy-two million, one hundred sixty-six thousand, one hundred twenty".