283272 has 64 divisors (see below), whose sum is σ = 820800. Its totient is φ = 80640.

The previous prime is 283267. The next prime is 283277. The reversal of 283272 is 272382.

It is an interprime number because it is at equal distance from previous prime (283267) and next prime (283277).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a d-powerful number, because it can be written as 2⁴ + 8⁴ + 2⁷ + 3⁴ + 7⁵ + 2¹⁸ .

It is not an unprimeable number, because it can be changed into a prime (283277) 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, 7638 + ... + 7674.

It is an arithmetic number, because the mean of its divisors is an integer number (12825).

2²⁸³²⁷² is an apocalyptic number.

283272 is a gapful number since it is divisible by the number (22) 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 283272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410400).

283272 is an abundant number, since it is smaller than the sum of its proper divisors (537528).

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

283272 is a wasteful number, since it uses less digits than its factorization.

283272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 82 counting only the distinct ones).

The product of its digits is 1344, while the sum is 24.

The square root of 283272 is about 532.2330316694. The cubic root of 283272 is about 65.6751716104.

It can be divided in two parts, 283 and 272, that added together give a palindrome (555).

The spelling of 283272 in words is "two hundred eighty-three thousand, two hundred seventy-two".