75057 has 8 divisors (see below), whose sum is σ = 101376. Its totient is φ = 49392.

The previous prime is 75041. The next prime is 75079.

75057 is nontrivially palindromic in base 10.

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

It is not a de Polignac number, because 75057 - 2⁴ = 75041 is a prime.

It is not an unprimeable number, because it can be changed into a prime (75017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 283 + ... + 479.

It is an arithmetic number, because the mean of its divisors is an integer number (12672).

2⁷⁵⁰⁵⁷ is an apocalyptic number.

It is an amenable number.

75057 is a deficient number, since it is larger than the sum of its proper divisors (26319).

75057 is a wasteful number, since it uses less digits than its factorization.

75057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327.

The product of its (nonzero) digits is 1225, while the sum is 24.

The square root of 75057 is about 273.9653262732. The cubic root of 75057 is about 42.1823140402.

The spelling of 75057 in words is "seventy-five thousand, fifty-seven".