282720 has 96 divisors (see below), whose sum is σ = 967680. Its totient is φ = 69120.

The previous prime is 282713. The next prime is 282767. The reversal of 282720 is 27282.

282720 is nontrivially palindromic in base 13.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9105 + ... + 9135.

It is an arithmetic number, because the mean of its divisors is an integer number (10080).

2²⁸²⁷²⁰ is an apocalyptic number.

282720 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 282720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483840).

282720 is an abundant number, since it is smaller than the sum of its proper divisors (684960).

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

282720 is a wasteful number, since it uses less digits than its factorization.

282720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 282720 is about 531.7142089506. The cubic root of 282720 is about 65.6324844072.

The spelling of 282720 in words is "two hundred eighty-two thousand, seven hundred twenty".