72565 has 8 divisors (see below), whose sum is σ = 91008. Its totient is φ = 55440.

The previous prime is 72559. The next prime is 72577. The reversal of 72565 is 56527.

It is a happy number.

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

It is not a de Polignac number, because 72565 - 2⁵ = 72533 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

72565 is a lucky number.

It is a plaindrome in base 15.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 201 + ... + 430.

It is an arithmetic number, because the mean of its divisors is an integer number (11376).

2⁷²⁵⁶⁵ is an apocalyptic number.

It is an amenable number.

72565 is a deficient number, since it is larger than the sum of its proper divisors (18443).

72565 is a wasteful number, since it uses less digits than its factorization.

72565 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 659.

The product of its digits is 2100, while the sum is 25.

The square root of 72565 is about 269.3789152848. The cubic root of 72565 is about 41.7102122527.

It can be divided in two parts, 7 and 2565, that multiplied together give a triangular number (17955 = T₁₈₉).

The spelling of 72565 in words is "seventy-two thousand, five hundred sixty-five".