272827680 has 48 divisors (see below), whose sum is σ = 859408704. Its totient is φ = 72753920.

The previous prime is 272827673. The next prime is 272827693. The reversal of 272827680 is 86728272.

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

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 7 ways as a sum of consecutive naturals, for example, 283716 + ... + 284675.

It is an arithmetic number, because the mean of its divisors is an integer number (17904348).

Almost surely, 2^272827680 is an apocalyptic number.

272827680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

272827680 is an abundant number, since it is smaller than the sum of its proper divisors (586581024).

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

272827680 is a wasteful number, since it uses less digits than its factorization.

272827680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568409 (or 568401 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 42.

The square root of 272827680 is about 16517.4961782953. The cubic root of 272827680 is about 648.5788913197.

The spelling of 272827680 in words is "two hundred seventy-two million, eight hundred twenty-seven thousand, six hundred eighty".