63728145 has 48 divisors (see below), whose sum is σ = 121906512. Its totient is φ = 30597120.

The previous prime is 63728143. The next prime is 63728213. The reversal of 63728145 is 54182736.

63728145 is a `hidden beast` number, since 637 + 2 + 8 + 14 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 13133376 + 50594769 = 3624^2 + 7113^2 .

It is not a de Polignac number, because 63728145 - 2¹ = 63728143 is a prime.

It is a super-2 number, since 2×63728145² = 8122552930282050, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (63728141) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22657 + ... + 25313.

It is an arithmetic number, because the mean of its divisors is an integer number (2539719).

Almost surely, 2^63728145 is an apocalyptic number.

63728145 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

63728145 is a deficient number, since it is larger than the sum of its proper divisors (58178367).

63728145 is a wasteful number, since it uses less digits than its factorization.

63728145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2722 (or 2719 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 63728145 is about 7982.9909808292. The cubic root of 63728145 is about 399.4328315968.

It can be divided in two parts, 637 and 28145, that added together give a palindrome (28782).

The spelling of 63728145 in words is "sixty-three million, seven hundred twenty-eight thousand, one hundred forty-five".