75945 has 16 divisors (see below), whose sum is σ = 124992. Its totient is φ = 39360.

The previous prime is 75941. The next prime is 75967. The reversal of 75945 is 54957.

It is not a de Polignac number, because 75945 - 2² = 75941 is a prime.

75945 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (75941) 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 15 ways as a sum of consecutive naturals, for example, 874 + ... + 956.

It is an arithmetic number, because the mean of its divisors is an integer number (7812).

2⁷⁵⁹⁴⁵ is an apocalyptic number.

It is an amenable number.

75945 is a deficient number, since it is larger than the sum of its proper divisors (49047).

75945 is a wasteful number, since it uses less digits than its factorization.

75945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152.

The product of its digits is 6300, while the sum is 30.

The square root of 75945 is about 275.5812040035. The cubic root of 75945 is about 42.3480153812.

The spelling of 75945 in words is "seventy-five thousand, nine hundred forty-five".