71808 has 64 divisors (see below), whose sum is σ = 220320. Its totient is φ = 20480.

The previous prime is 71807. The next prime is 71809. The reversal of 71808 is 80817.

It is an interprime number because it is at equal distance from previous prime (71807) and next prime (71809).

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71807) 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, 4216 + ... + 4232.

2⁷¹⁸⁰⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110160).

71808 is an abundant number, since it is smaller than the sum of its proper divisors (148512).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

71808 is a wasteful number, since it uses less digits than its factorization.

71808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 24.

The square root of 71808 is about 267.9701475911. The cubic root of 71808 is about 41.5646642738.

71808 divided by its sum of digits (24) gives a palindrome (2992).

Subtracting 71808 from its reverse (80817), we obtain a palindrome (9009).

The spelling of 71808 in words is "seventy-one thousand, eight hundred eight".