75755 has 8 divisors (see below), whose sum is σ = 92400. Its totient is φ = 59616.

The previous prime is 75743. The next prime is 75767. The reversal of 75755 is 55757.

75755 = 35² + 36² + ... + 64².

It is an interprime number because it is at equal distance from previous prime (75743) and next prime (75767).

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 75755 - 2¹⁰ = 74731 is a prime.

It is an Ulam number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 476 + ... + 614.

It is an arithmetic number, because the mean of its divisors is an integer number (11550).

2⁷⁵⁷⁵⁵ is an apocalyptic number.

75755 is a deficient number, since it is larger than the sum of its proper divisors (16645).

75755 is a wasteful number, since it uses less digits than its factorization.

75755 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253.

The product of its digits is 6125, while the sum is 29.

The square root of 75755 is about 275.2362621458. The cubic root of 75755 is about 42.3126703191.

The spelling of 75755 in words is "seventy-five thousand, seven hundred fifty-five".