72580 has 24 divisors (see below), whose sum is σ = 161280. Its totient is φ = 27360.

The previous prime is 72577. The next prime is 72613. The reversal of 72580 is 8527.

72580 = T₇₅ + T₇₆ + ... + T₉₄.

It is a plaindrome in base 15.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 285 + ... + 475.

It is an arithmetic number, because the mean of its divisors is an integer number (6720).

2⁷²⁵⁸⁰ 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 72580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80640).

72580 is an abundant number, since it is smaller than the sum of its proper divisors (88700).

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

72580 is a wasteful number, since it uses less digits than its factorization.

72580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 22.

The square root of 72580 is about 269.4067556688. The cubic root of 72580 is about 41.7130860444.

The spelling of 72580 in words is "seventy-two thousand, five hundred eighty".