71000 has 32 divisors (see below), whose sum is σ = 168480. Its totient is φ = 28000.

The previous prime is 70999. The next prime is 71011. The reversal of 71000 is 17.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an Ulam number.

It is a plaindrome in base 16.

It is a nialpdrome in base 10.

It is a congruent number.

It is an unprimeable number.

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, 965 + ... + 1035.

It is an arithmetic number, because the mean of its divisors is an integer number (5265).

2⁷¹⁰⁰⁰ 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 71000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84240).

71000 is an abundant number, since it is smaller than the sum of its proper divisors (97480).

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

71000 is a wasteful number, since it uses less digits than its factorization.

71000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 7, while the sum is 8.

The square root of 71000 is about 266.4582518895. The cubic root of 71000 is about 41.4081774942.

Adding to 71000 its reverse (17), we get a palindrome (71017).

The spelling of 71000 in words is "seventy-one thousand", and thus it is an iban number.