272540160 has 160 divisors (see below), whose sum is σ = 968330880. Its totient is φ = 72658944.

The previous prime is 272540143. The next prime is 272540167. The reversal of 272540160 is 61045272.

272540160 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (160).

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

It is not an unprimeable number, because it can be changed into a prime (272540167) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67149 + ... + 71091.

It is an arithmetic number, because the mean of its divisors is an integer number (6052068).

Almost surely, 2^272540160 is an apocalyptic number.

272540160 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 272540160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484165440).

272540160 is an abundant number, since it is smaller than the sum of its proper divisors (695790720).

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

272540160 is an equidigital number, since it uses as much as digits as its factorization.

272540160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3975 (or 3953 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 272540160 is about 16508.7903857309. The cubic root of 272540160 is about 648.3509758476.

The spelling of 272540160 in words is "two hundred seventy-two million, five hundred forty thousand, one hundred sixty".