75873 has 8 divisors (see below), whose sum is σ = 115648. Its totient is φ = 43344.

The previous prime is 75869. The next prime is 75883. The reversal of 75873 is 37857.

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

It is not a de Polignac number, because 75873 - 2² = 75869 is a prime.

It is a Duffinian number.

75873 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 75873.

It is not an unprimeable number, because it can be changed into a prime (75833) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1786 + ... + 1827.

It is an arithmetic number, because the mean of its divisors is an integer number (14456).

2⁷⁵⁸⁷³ is an apocalyptic number.

It is an amenable number.

75873 is a deficient number, since it is larger than the sum of its proper divisors (39775).

75873 is a wasteful number, since it uses less digits than its factorization.

75873 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3623.

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

The square root of 75873 is about 275.4505400249. The cubic root of 75873 is about 42.3346284074.

The spelling of 75873 in words is "seventy-five thousand, eight hundred seventy-three".