72284 has 12 divisors (see below), whose sum is σ = 134064. Its totient is φ = 33984.

The previous prime is 72277. The next prime is 72287. The reversal of 72284 is 48227.

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 72284.

It is not an unprimeable number, because it can be changed into a prime (72287) by changing a digit.

72284 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 464 + ... + 599.

It is an arithmetic number, because the mean of its divisors is an integer number (11172).

2⁷²²⁸⁴ is an apocalyptic number.

It is an amenable number.

72284 is a deficient number, since it is larger than the sum of its proper divisors (61780).

72284 is a wasteful number, since it uses less digits than its factorization.

72284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1084 (or 1082 counting only the distinct ones).

The product of its digits is 896, while the sum is 23.

The square root of 72284 is about 268.8568392286. The cubic root of 72284 is about 41.6563032004.

The spelling of 72284 in words is "seventy-two thousand, two hundred eighty-four".