65727625 has 16 divisors (see below), whose sum is σ = 82602000. Its totient is φ = 52214400.

The previous prime is 65727589. The next prime is 65727643. The reversal of 65727625 is 52672756.

It can be written as a sum of positive squares in 8 ways, for example, as 50069776 + 15657849 = 7076^2 + 3957^2 .

It is a de Polignac number, because none of the positive numbers 2^k-65727625 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16861 + ... + 20389.

It is an arithmetic number, because the mean of its divisors is an integer number (5162625).

Almost surely, 2^65727625 is an apocalyptic number.

It is an amenable number.

65727625 is a deficient number, since it is larger than the sum of its proper divisors (16874375).

65727625 is a wasteful number, since it uses less digits than its factorization.

65727625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3693 (or 3683 counting only the distinct ones).

The product of its digits is 176400, while the sum is 40.

The square root of 65727625 is about 8107.2575511081. The cubic root of 65727625 is about 403.5673099237.

It can be divided in two parts, 657 and 27625, that added together give a palindrome (28282).

The spelling of 65727625 in words is "sixty-five million, seven hundred twenty-seven thousand, six hundred twenty-five".