72582 has 8 divisors (see below), whose sum is σ = 145176. Its totient is φ = 24192.

The previous prime is 72577. The next prime is 72613. The reversal of 72582 is 28527.

It is a sphenic number, since it is the product of 3 distinct primes.

72582 is an admirable number.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax 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 72582.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6043 + ... + 6054.

It is an arithmetic number, because the mean of its divisors is an integer number (18147).

2⁷²⁵⁸² is an apocalyptic number.

72582 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (72588).

72582 is a wasteful number, since it uses less digits than its factorization.

72582 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12102.

The product of its digits is 1120, while the sum is 24.

The square root of 72582 is about 269.4104675027. The cubic root of 72582 is about 41.7134691867.

It can be divided in two parts, 7258 and 2, that added together give a triangular number (7260 = T₁₂₀).

The spelling of 72582 in words is "seventy-two thousand, five hundred eighty-two".