75561 has 8 divisors (see below), whose sum is σ = 102240. Its totient is φ = 49632.

The previous prime is 75557. The next prime is 75571. The reversal of 75561 is 16557.

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

It is not a de Polignac number, because 75561 - 2² = 75557 is a prime.

75561 is a lucky number.

It is a plaindrome in base 12.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 75561.

It is not an unprimeable number, because it can be changed into a prime (75511) 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, 126 + ... + 408.

It is an arithmetic number, because the mean of its divisors is an integer number (12780).

2⁷⁵⁵⁶¹ is an apocalyptic number.

It is an amenable number.

75561 is a deficient number, since it is larger than the sum of its proper divisors (26679).

75561 is a wasteful number, since it uses less digits than its factorization.

75561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375.

The product of its digits is 1050, while the sum is 24.

The square root of 75561 is about 274.8836117341. The cubic root of 75561 is about 42.2765201192.

It can be divided in two parts, 7556 and 1, that added together give a palindrome (7557).

The spelling of 75561 in words is "seventy-five thousand, five hundred sixty-one".