72568 has 16 divisors (see below), whose sum is σ = 139680. Its totient is φ = 35328.

The previous prime is 72559. The next prime is 72577. The reversal of 72568 is 86527.

It is an interprime number because it is at equal distance from previous prime (72559) and next prime (72577).

It is a super-2 number, since 2×72568² = 10532229248, which contains 22 as substring.

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 3 ways as a sum of consecutive naturals, for example, 280 + ... + 472.

It is an arithmetic number, because the mean of its divisors is an integer number (8730).

2⁷²⁵⁶⁸ is an apocalyptic number.

It is an amenable number.

72568 is a deficient number, since it is larger than the sum of its proper divisors (67112).

72568 is a wasteful number, since it uses less digits than its factorization.

72568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 242 counting only the distinct ones).

The product of its digits is 3360, while the sum is 28.

The square root of 72568 is about 269.3844835918. The cubic root of 72568 is about 41.7107870427.

The spelling of 72568 in words is "seventy-two thousand, five hundred sixty-eight".