71368 has 16 divisors (see below), whose sum is σ = 146160. Its totient is φ = 32400.

The previous prime is 71363. The next prime is 71387. The reversal of 71368 is 86317.

It is not an unprimeable number, because it can be changed into a prime (71363) 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 3 ways as a sum of consecutive naturals, for example, 318 + ... + 493.

It is an arithmetic number, because the mean of its divisors is an integer number (9135).

2⁷¹³⁶⁸ is an apocalyptic number.

It is an amenable number.

71368 is an abundant number, since it is smaller than the sum of its proper divisors (74792).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73080).

71368 is a wasteful number, since it uses less digits than its factorization.

71368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 828 (or 824 counting only the distinct ones).

The product of its digits is 1008, while the sum is 25.

The square root of 71368 is about 267.1478991121. The cubic root of 71368 is about 41.4795951366.

It can be divided in two parts, 713 and 68, that multiplied together give a palindrome (48484).

The spelling of 71368 in words is "seventy-one thousand, three hundred sixty-eight".