71364 has 24 divisors (see below), whose sum is σ = 175840. Its totient is φ = 22464.

The previous prime is 71363. The next prime is 71387. The reversal of 71364 is 46317.

71364 = T₇₇ + T₇₈ + ... + T₉₅.

71364 is nontrivially palindromic in base 5.

It is a self number, because there is not a number n which added to its sum of digits gives 71364.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 71364.

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 7 ways as a sum of consecutive naturals, for example, 72 + ... + 384.

2⁷¹³⁶⁴ 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 71364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87920).

71364 is an abundant number, since it is smaller than the sum of its proper divisors (104476).

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

71364 is a wasteful number, since it uses less digits than its factorization.

71364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 337 counting only the distinct ones).

The product of its digits is 504, while the sum is 21.

The square root of 71364 is about 267.1404125175. The cubic root of 71364 is about 41.4788201792.

It can be divided in two parts, 7136 and 4, that added together give a triangular number (7140 = T₁₁₉).

The spelling of 71364 in words is "seventy-one thousand, three hundred sixty-four".