71505 has 24 divisors (see below), whose sum is σ = 142272. Its totient is φ = 32544.

The previous prime is 71503. The next prime is 71527. The reversal of 71505 is 50517.

It is a happy number.

71505 is nontrivially palindromic in base 4.

It is not a de Polignac number, because 71505 - 2¹ = 71503 is a prime.

It is a super-2 number, since 2×71505² = 10225930050, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (71503) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 202 + ... + 428.

It is an arithmetic number, because the mean of its divisors is an integer number (5928).

2⁷¹⁵⁰⁵ is an apocalyptic number.

It is an amenable number.

71505 is a deficient number, since it is larger than the sum of its proper divisors (70767).

71505 is a wasteful number, since it uses less digits than its factorization.

71505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 175, while the sum is 18.

The square root of 71505 is about 267.4041884489. The cubic root of 71505 is about 41.5061199665.

It can be divided in two parts, 71 and 505, that added together give a square (576 = 24²).

The spelling of 71505 in words is "seventy-one thousand, five hundred five".