72282 has 16 divisors (see below), whose sum is σ = 165312. Its totient is φ = 20640.

The previous prime is 72277. The next prime is 72287. The reversal of 72282 is 28227.

It is an interprime number because it is at equal distance from previous prime (72277) and next prime (72287).

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

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

72282 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 7 ways as a sum of consecutive naturals, for example, 819 + ... + 902.

It is an arithmetic number, because the mean of its divisors is an integer number (10332).

2⁷²²⁸² is an apocalyptic number.

72282 is an abundant number, since it is smaller than the sum of its proper divisors (93030).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82656).

72282 is a wasteful number, since it uses less digits than its factorization.

72282 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1733.

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

The square root of 72282 is about 268.8531197513. The cubic root of 72282 is about 41.6559190057.

The spelling of 72282 in words is "seventy-two thousand, two hundred eighty-two".