75751 has 4 divisors (see below), whose sum is σ = 81592. Its totient is φ = 69912.

The previous prime is 75743. The next prime is 75767. The reversal of 75751 is 15757.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 15757 = 7 ⋅2251.

It is a cyclic number.

It is not a de Polignac number, because 75751 - 2³ = 75743 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75721) 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 3 ways as a sum of consecutive naturals, for example, 2901 + ... + 2926.

It is an arithmetic number, because the mean of its divisors is an integer number (20398).

2⁷⁵⁷⁵¹ is an apocalyptic number.

75751 is a deficient number, since it is larger than the sum of its proper divisors (5841).

75751 is a wasteful number, since it uses less digits than its factorization.

75751 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5840.

The product of its digits is 1225, while the sum is 25.

The square root of 75751 is about 275.2289955655. The cubic root of 75751 is about 42.3119255777.

It can be divided in two parts, 757 and 51, that added together give a palindrome (808).

The spelling of 75751 in words is "seventy-five thousand, seven hundred fifty-one".