73875 has 16 divisors (see below), whose sum is σ = 123552. Its totient is φ = 39200.

The previous prime is 73867. The next prime is 73877. The reversal of 73875 is 57837.

It is not a de Polignac number, because 73875 - 2³ = 73867 is a prime.

It is a nialpdrome in base 5.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 73875.

It is not an unprimeable number, because it can be changed into a prime (73877) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 277 + ... + 473.

It is an arithmetic number, because the mean of its divisors is an integer number (7722).

2⁷³⁸⁷⁵ is an apocalyptic number.

73875 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

73875 is a deficient number, since it is larger than the sum of its proper divisors (49677).

73875 is a wasteful number, since it uses less digits than its factorization.

73875 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 205 counting only the distinct ones).

The product of its digits is 5880, while the sum is 30.

The square root of 73875 is about 271.7995584985. The cubic root of 73875 is about 41.9597119333.

The spelling of 73875 in words is "seventy-three thousand, eight hundred seventy-five".