71725 has 12 divisors (see below), whose sum is σ = 94240. Its totient is φ = 54000.

The previous prime is 71719. The next prime is 71741. The reversal of 71725 is 52717.

It is not a de Polignac number, because 71725 - 2⁵ = 71693 is a prime.

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

71725 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 71696 and 71705.

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 11 ways as a sum of consecutive naturals, for example, 400 + ... + 550.

2⁷¹⁷²⁵ is an apocalyptic number.

It is an amenable number.

71725 is a deficient number, since it is larger than the sum of its proper divisors (22515).

71725 is a wasteful number, since it uses less digits than its factorization.

71725 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 175 counting only the distinct ones).

The product of its digits is 490, while the sum is 22.

The square root of 71725 is about 267.8152348168. The cubic root of 71725 is about 41.5486437878.

The spelling of 71725 in words is "seventy-one thousand, seven hundred twenty-five".