71205 has 16 divisors (see below), whose sum is σ = 117504. Its totient is φ = 36800.

The previous prime is 71191. The next prime is 71209. The reversal of 71205 is 50217.

It is a happy number.

It is not a de Polignac number, because 71205 - 2⁸ = 70949 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71209) 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 15 ways as a sum of consecutive naturals, for example, 655 + ... + 755.

It is an arithmetic number, because the mean of its divisors is an integer number (7344).

2⁷¹²⁰⁵ is an apocalyptic number.

It is an amenable number.

71205 is a deficient number, since it is larger than the sum of its proper divisors (46299).

71205 is a wasteful number, since it uses less digits than its factorization.

71205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156.

The product of its (nonzero) digits is 70, while the sum is 15.

The square root of 71205 is about 266.8426502642. The cubic root of 71205 is about 41.4479921403.

It can be divided in two parts, 71 and 205, that added together give a triangular number (276 = T₂₃).

The spelling of 71205 in words is "seventy-one thousand, two hundred five".