71125 has 8 divisors (see below), whose sum is σ = 88920. Its totient is φ = 56800.

The previous prime is 71119. The next prime is 71129. The reversal of 71125 is 52117.

It can be written as a sum of positive squares in 4 ways, for example, as 10609 + 60516 = 103^2 + 246^2 .

It is not a de Polignac number, because 71125 - 2⁷ = 70997 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 71099 and 71108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 160 + ... + 409.

It is an arithmetic number, because the mean of its divisors is an integer number (11115).

2⁷¹¹²⁵ is an apocalyptic number.

It is an amenable number.

71125 is a deficient number, since it is larger than the sum of its proper divisors (17795).

71125 is an equidigital number, since it uses as much as digits as its factorization.

71125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584 (or 574 counting only the distinct ones).

The product of its digits is 70, while the sum is 16.

The square root of 71125 is about 266.6927070619. The cubic root of 71125 is about 41.4324638209.

It can be divided in two parts, 7112 and 5, that added together give a palindrome (7117).

The spelling of 71125 in words is "seventy-one thousand, one hundred twenty-five".