63729 has 12 divisors (see below), whose sum is σ = 94276. Its totient is φ = 41472.

The previous prime is 63727. The next prime is 63737. The reversal of 63729 is 92736.

63729 is a `hidden beast` number, since 637 + 29 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 32400 + 31329 = 180^2 + 177^2 .

It is not a de Polignac number, because 63729 - 2¹ = 63727 is a prime.

It is a super-2 number, since 2×63729² = 8122770882, which contains 22 as substring.

It is a Duffinian number.

63729 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (63727) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 609 + ... + 705.

2⁶³⁷²⁹ is an apocalyptic number.

It is an amenable number.

63729 is a deficient number, since it is larger than the sum of its proper divisors (30547).

63729 is a wasteful number, since it uses less digits than its factorization.

63729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 173 counting only the distinct ones).

The product of its digits is 2268, while the sum is 27.

The square root of 63729 is about 252.4460338369. The cubic root of 63729 is about 39.9434617901.

It can be divided in two parts, 637 and 29, that added together give a palindrome (666).

The spelling of 63729 in words is "sixty-three thousand, seven hundred twenty-nine".