272980160 has 56 divisors (see below), whose sum is σ = 653924016. Its totient is φ = 108538880.

The previous prime is 272980153. The next prime is 272980181. The reversal of 272980160 is 61089272.

It is a happy number.

272980160 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 272980160.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52895 + ... + 57825.

Almost surely, 2^272980160 is an apocalyptic number.

272980160 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 272980160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326962008).

272980160 is an abundant number, since it is smaller than the sum of its proper divisors (380943856).

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

272980160 is a wasteful number, since it uses less digits than its factorization.

272980160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5121 (or 5111 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 35.

The square root of 272980160 is about 16522.1112452374. Note that the first 3 decimals coincide. The cubic root of 272980160 is about 648.6996963779.

The spelling of 272980160 in words is "two hundred seventy-two million, nine hundred eighty thousand, one hundred sixty".