272108160 has 320 divisors, whose sum is σ = 1010809800. Its totient is φ = 69672960.

The previous prime is 272108141. The next prime is 272108227. The reversal of 272108160 is 61801272.

It can be written as a sum of positive squares in 4 ways, for example, as 134374464 + 137733696 = 11592^2 + 11736^2 .

It is a tau number, because it is divible by the number of its divisors (320).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1503270 + ... + 1503450.

Almost surely, 2^272108160 is an apocalyptic number.

272108160 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 272108160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505404900).

272108160 is an abundant number, since it is smaller than the sum of its proper divisors (738701640).

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

272108160 is a wasteful number, since it uses less digits than its factorization.

272108160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 272108160 is about 16495.7012582066. The cubic root of 272108160 is about 648.0082303481.

The spelling of 272108160 in words is "two hundred seventy-two million, one hundred eight thousand, one hundred sixty".