71300 has 36 divisors (see below), whose sum is σ = 166656. Its totient is φ = 26400.

The previous prime is 71293. The next prime is 71317. The reversal of 71300 is 317.

Subtracting from 71300 its sum of digits (11), we obtain a square (71289 = 267^{2}).

Adding to 71300 its reverse (317), we get a palindrome (71617).

It is a zygodrome in base 9.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2285 + ... + 2315.

2^{71300} 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 71300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83328).

71300 is an abundant number, since it is smaller than the sum of its proper divisors (95356).

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

71300 is a wasteful number, since it uses less digits than its factorization.

71300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 21, while the sum is 11.

The square root of 71300 is about 267.0205984564. The cubic root of 71300 is about 41.4664169205.

The spelling of 71300 in words is "seventy-one thousand, three hundred", and thus it is an iban number.

Divisors: 1 2 4 5 10 20 23 25 31 46 50 62 92 100 115 124 155 230 310 460 575 620 713 775 1150 1426 1550 2300 2852 3100 3565 7130 14260 17825 35650 71300

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