75761 has 8 divisors (see below), whose sum is σ = 88320. Its totient is φ = 63648.

The previous prime is 75743. The next prime is 75767. The reversal of 75761 is 16757.

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 75761 - 2¹⁴ = 59377 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 75761.

It is not an unprimeable number, because it can be changed into a prime (75767) 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, 485 + ... + 621.

It is an arithmetic number, because the mean of its divisors is an integer number (11040).

2⁷⁵⁷⁶¹ is an apocalyptic number.

It is an amenable number.

75761 is a deficient number, since it is larger than the sum of its proper divisors (12559).

75761 is a wasteful number, since it uses less digits than its factorization.

75761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223.

The product of its digits is 1470, while the sum is 26.

The square root of 75761 is about 275.2471616566. The cubic root of 75761 is about 42.3137873821.

It can be divided in two parts, 757 and 61, that added together give a palindrome (818).

The spelling of 75761 in words is "seventy-five thousand, seven hundred sixty-one".