72566 has 8 divisors (see below), whose sum is σ = 117264. Its totient is φ = 33480.

The previous prime is 72559. The next prime is 72577. The reversal of 72566 is 66527.

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

It is a Harshad number since it is a multiple of its sum of digits (26), and also a Moran number because the ratio is a prime number: 2791 = 72566 / (7 + 2 + 5 + 6 + 6).

It is a Curzon 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 72566.

It is an unprimeable number.

72566 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, 1370 + ... + 1421.

It is an arithmetic number, because the mean of its divisors is an integer number (14658).

2⁷²⁵⁶⁶ is an apocalyptic number.

72566 is a deficient number, since it is larger than the sum of its proper divisors (44698).

72566 is a wasteful number, since it uses less digits than its factorization.

72566 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2806.

The product of its digits is 2520, while the sum is 26.

The square root of 72566 is about 269.3807713999. The cubic root of 72566 is about 41.7104038511.

The spelling of 72566 in words is "seventy-two thousand, five hundred sixty-six".