272080 has 40 divisors (see below), whose sum is σ = 669600. Its totient is φ = 102528.

The previous prime is 272059. The next prime is 272093. The reversal of 272080 is 80272.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is an unprimeable number.

272080 is an untouchable number, because it is not equal to the sum of proper divisors of any 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, 1431 + ... + 1609.

It is an arithmetic number, because the mean of its divisors is an integer number (16740).

2²⁷²⁰⁸⁰ is an apocalyptic number.

272080 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 272080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334800).

272080 is an abundant number, since it is smaller than the sum of its proper divisors (397520).

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

272080 is a wasteful number, since it uses less digits than its factorization.

272080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 19.

The square root of 272080 is about 521.6128832765. The cubic root of 272080 is about 64.7985875829.

The spelling of 272080 in words is "two hundred seventy-two thousand, eighty".