272880 has 60 divisors (see below), whose sum is σ = 918840. Its totient is φ = 72576.

The previous prime is 272879. The next prime is 272887. The reversal of 272880 is 88272.

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (272887) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 531 + ... + 909.

It is an arithmetic number, because the mean of its divisors is an integer number (15314).

2²⁷²⁸⁸⁰ is an apocalyptic number.

272880 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 272880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459420).

272880 is an abundant number, since it is smaller than the sum of its proper divisors (645960).

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

272880 is a wasteful number, since it uses less digits than its factorization.

272880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 272880 is about 522.3791726323. The cubic root of 272880 is about 64.8620347864.

The spelling of 272880 in words is "two hundred seventy-two thousand, eight hundred eighty".