63728125 has 12 divisors (see below), whose sum is σ = 79658964. Its totient is φ = 50980000.

The previous prime is 63728113. The next prime is 63728129. The reversal of 63728125 is 52182736.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 51638596 + 12089529 = 7186^2 + 3477^2 .

It is not a de Polignac number, because 63728125 - 2⁷ = 63727997 is a prime.

It is a super-2 number, since 2×63728125² = 8122547832031250, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63728129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7072 + ... + 13321.

It is an arithmetic number, because the mean of its divisors is an integer number (6638247).

Almost surely, 2^63728125 is an apocalyptic number.

It is an amenable number.

63728125 is a deficient number, since it is larger than the sum of its proper divisors (15930839).

63728125 is an frugal number, since it uses more digits than its factorization.

63728125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20418 (or 20398 counting only the distinct ones).

The product of its digits is 20160, while the sum is 34.

The square root of 63728125 is about 7982.9897281658. The cubic root of 63728125 is about 399.4327898117.

The spelling of 63728125 in words is "sixty-three million, seven hundred twenty-eight thousand, one hundred twenty-five".