73567 has 4 divisors (see below), whose sum is σ = 79240. Its totient is φ = 67896.

The previous prime is 73561. The next prime is 73571. The reversal of 73567 is 76537.

73567 is an esthetic number in base 5, because in such base its adjacent digits differ by 1.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-73567 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73561) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2817 + ... + 2842.

It is an arithmetic number, because the mean of its divisors is an integer number (19810).

2⁷³⁵⁶⁷ is an apocalyptic number.

73567 is a deficient number, since it is larger than the sum of its proper divisors (5673).

73567 is a wasteful number, since it uses less digits than its factorization.

73567 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5672.

The product of its digits is 4410, while the sum is 28.

The square root of 73567 is about 271.2323726991. The cubic root of 73567 is about 41.9013178291.

Adding to 73567 its product of digits (4410), we get a palindrome (77977).

The spelling of 73567 in words is "seventy-three thousand, five hundred sixty-seven".