73566 has 24 divisors (see below), whose sum is σ = 164424. Its totient is φ = 23760.

The previous prime is 73561. The next prime is 73571. The reversal of 73566 is 66537.

It is an interprime number because it is at equal distance from previous prime (73561) and next prime (73571).

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 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, 1065 + ... + 1131.

It is an arithmetic number, because the mean of its divisors is an integer number (6851).

2⁷³⁵⁶⁶ is an apocalyptic number.

73566 is an abundant number, since it is smaller than the sum of its proper divisors (90858).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82212).

73566 is a wasteful number, since it uses less digits than its factorization.

73566 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 133 counting only the distinct ones).

The product of its digits is 3780, while the sum is 27.

The square root of 73566 is about 271.2305292551. The cubic root of 73566 is about 41.9011279726.

The spelling of 73566 in words is "seventy-three thousand, five hundred sixty-six".