71873 has 4 divisors (see below), whose sum is σ = 73668. Its totient is φ = 70080.

The previous prime is 71867. The next prime is 71879. The reversal of 71873 is 37817.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 37817 = 13 ⋅2909.

It is an interprime number because it is at equal distance from previous prime (71867) and next prime (71879).

It can be written as a sum of positive squares in 2 ways, for example, as 2704 + 69169 = 52^2 + 263^2 .

It is a cyclic number.

It is not a de Polignac number, because 71873 - 2⁶ = 71809 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is a plaindrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (71879) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 836 + ... + 917.

It is an arithmetic number, because the mean of its divisors is an integer number (18417).

2⁷¹⁸⁷³ is an apocalyptic number.

It is an amenable number.

71873 is a deficient number, since it is larger than the sum of its proper divisors (1795).

71873 is a wasteful number, since it uses less digits than its factorization.

71873 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1794.

The product of its digits is 1176, while the sum is 26.

The square root of 71873 is about 268.0914023239. The cubic root of 71873 is about 41.5772018203.

The spelling of 71873 in words is "seventy-one thousand, eight hundred seventy-three".