73563 has 16 divisors (see below), whose sum is σ = 116736. Its totient is φ = 40320.

The previous prime is 73561. The next prime is 73571. The reversal of 73563 is 36537.

It is not a de Polignac number, because 73563 - 2¹ = 73561 is a prime.

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 15 ways as a sum of consecutive naturals, for example, 595 + ... + 707.

It is an arithmetic number, because the mean of its divisors is an integer number (7296).

2⁷³⁵⁶³ is an apocalyptic number.

73563 is a deficient number, since it is larger than the sum of its proper divisors (43173).

73563 is a wasteful number, since it uses less digits than its factorization.

73563 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154.

The product of its digits is 1890, while the sum is 24.

The square root of 73563 is about 271.2249988478. The cubic root of 73563 is about 41.9005583930.

It can be divided in two parts, 73 and 563, that added together give a palindrome (636).

The spelling of 73563 in words is "seventy-three thousand, five hundred sixty-three".