72567 has 12 divisors (see below), whose sum is σ = 114504. Its totient is φ = 43920.

The previous prime is 72559. The next prime is 72577. The reversal of 72567 is 76527.

It is not a de Polignac number, because 72567 - 2³ = 72559 is a prime.

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

It is a plaindrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 72567.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 268 + ... + 465.

It is an arithmetic number, because the mean of its divisors is an integer number (9542).

2⁷²⁵⁶⁷ is an apocalyptic number.

72567 is a deficient number, since it is larger than the sum of its proper divisors (41937).

72567 is a wasteful number, since it uses less digits than its factorization.

72567 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 750 (or 747 counting only the distinct ones).

The product of its digits is 2940, while the sum is 27.

The square root of 72567 is about 269.3826275022. The cubic root of 72567 is about 41.7105954478.

The spelling of 72567 in words is "seventy-two thousand, five hundred sixty-seven".