75563 has 8 divisors (see below), whose sum is σ = 82320. Its totient is φ = 69120.

The previous prime is 75557. The next prime is 75571. The reversal of 75563 is 36557.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 75563 - 2⁸ = 75307 is a prime.

It is a Duffinian number.

It is a plaindrome in base 9 and base 12.

It is not an unprimeable number, because it can be changed into a prime (75503) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 731 + ... + 827.

It is an arithmetic number, because the mean of its divisors is an integer number (10290).

2⁷⁵⁵⁶³ is an apocalyptic number.

75563 is a deficient number, since it is larger than the sum of its proper divisors (6757).

75563 is a wasteful number, since it uses less digits than its factorization.

75563 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157.

The product of its digits is 3150, while the sum is 26.

The square root of 75563 is about 274.8872496134. The cubic root of 75563 is about 42.2768931172.

It can be divided in two parts, 755 and 63, that added together give a palindrome (818).

The spelling of 75563 in words is "seventy-five thousand, five hundred sixty-three".