282072 has 64 divisors (see below), whose sum is σ = 852480. Its totient is φ = 76032.

The previous prime is 282071. The next prime is 282089. The reversal of 282072 is 270282.

It is a super-2 number, since 2×282072² = 159129226368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an Ulam number.

It is a plaindrome in base 15.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 282072.

It is not an unprimeable number, because it can be changed into a prime (282071) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3828 + ... + 3900.

It is an arithmetic number, because the mean of its divisors is an integer number (13320).

2²⁸²⁰⁷² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 282072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426240).

282072 is an abundant number, since it is smaller than the sum of its proper divisors (570408).

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

282072 is a wasteful number, since it uses less digits than its factorization.

282072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 108 counting only the distinct ones).

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

The square root of 282072 is about 531.1045094894. The cubic root of 282072 is about 65.5823023844.

The spelling of 282072 in words is "two hundred eighty-two thousand, seventy-two".