272806560 has 432 divisors, whose sum is σ = 1079114400. Its totient is φ = 62539776.

The previous prime is 272806537. The next prime is 272806609. The reversal of 272806560 is 65608272.

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

It is a nialpdrome in base 12.

It is a zygodrome in base 12.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4623811 + ... + 4623869.

It is an arithmetic number, because the mean of its divisors is an integer number (2497950).

Almost surely, 2^272806560 is an apocalyptic number.

272806560 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 272806560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539557200).

272806560 is an abundant number, since it is smaller than the sum of its proper divisors (806307840).

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

272806560 is a wasteful number, since it uses less digits than its factorization.

272806560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 272806560 is about 16516.8568438429. The cubic root of 272806560 is about 648.5621550662.

The spelling of 272806560 in words is "two hundred seventy-two million, eight hundred six thousand, five hundred sixty".