71727125 has 8 divisors (see below), whose sum is σ = 89515608. Its totient is φ = 57381600.

The previous prime is 71727119. The next prime is 71727157. The reversal of 71727125 is 52172717.

It can be written as a sum of positive squares in 4 ways, for example, as 3598609 + 68128516 = 1897^2 + 8254^2 .

It is not a de Polignac number, because 71727125 - 2⁸ = 71726869 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 71727091 and 71727100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 286784 + ... + 287033.

It is an arithmetic number, because the mean of its divisors is an integer number (11189451).

Almost surely, 2^71727125 is an apocalyptic number.

It is an amenable number.

71727125 is a deficient number, since it is larger than the sum of its proper divisors (17788483).

71727125 is an equidigital number, since it uses as much as digits as its factorization.

71727125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 573832 (or 573822 counting only the distinct ones).

The product of its digits is 6860, while the sum is 32.

The square root of 71727125 is about 8469.1867968536. The cubic root of 71727125 is about 415.4905410499.

It can be divided in two parts, 7172712 and 5, that added together give a palindrome (7172717).

The spelling of 71727125 in words is "seventy-one million, seven hundred twenty-seven thousand, one hundred twenty-five".