63724 has 12 divisors (see below), whose sum is σ = 113400. Its totient is φ = 31328.

The previous prime is 63719. The next prime is 63727. The reversal of 63724 is 42736.

63724 = T₉₇ + T₉₈ + ... + T₁₀₈.

It is an Ulam number.

It is a d-powerful number, because it can be written as 6⁶ + 3⁵ + 7⁵ + 2 + 4² .

It is a junction number, because it is equal to n+sod(n) for n = 63695 and 63704.

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 3 ways as a sum of consecutive naturals, for example, 267 + ... + 445.

It is an arithmetic number, because the mean of its divisors is an integer number (9450).

2⁶³⁷²⁴ is an apocalyptic number.

It is an amenable number.

63724 is a deficient number, since it is larger than the sum of its proper divisors (49676).

63724 is a wasteful number, since it uses less digits than its factorization.

63724 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 270 counting only the distinct ones).

The product of its digits is 1008, while the sum is 22.

The square root of 63724 is about 252.4361305360. The cubic root of 63724 is about 39.9424171451.

It can be divided in two parts, 63 and 724, that added together give a palindrome (787).

The spelling of 63724 in words is "sixty-three thousand, seven hundred twenty-four".