75915 has 24 divisors (see below), whose sum is σ = 151008. Its totient is φ = 34560.

The previous prime is 75913. The next prime is 75931. The reversal of 75915 is 51957.

It is not a de Polignac number, because 75915 - 2¹ = 75913 is a prime.

It is a nude number because it is divisible by every one of its digits.

It is a plaindrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (75913) 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 23 ways as a sum of consecutive naturals, for example, 195 + ... + 435.

It is an arithmetic number, because the mean of its divisors is an integer number (6292).

2⁷⁵⁹¹⁵ is an apocalyptic number.

75915 is a deficient number, since it is larger than the sum of its proper divisors (75093).

75915 is a wasteful number, since it uses less digits than its factorization.

75915 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 256 counting only the distinct ones).

The product of its digits is 1575, while the sum is 27.

The square root of 75915 is about 275.5267682096. The cubic root of 75915 is about 42.3424385042.

It can be divided in two parts, 75 and 915, that added together give a triangular number (990 = T₄₄).

The spelling of 75915 in words is "seventy-five thousand, nine hundred fifteen".