63736 has 16 divisors (see below), whose sum is σ = 123840. Its totient is φ = 30720.

The previous prime is 63727. The next prime is 63737.

63736 = T₄₈ + T₄₉ + ... + T₇₈.

It is a happy number.

63736 is nontrivially palindromic in base 10.

63736 is an undulating number in base 16.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 63736.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63737) 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, 120 + ... + 376.

It is an arithmetic number, because the mean of its divisors is an integer number (7740).

2⁶³⁷³⁶ is an apocalyptic number.

It is an amenable number.

63736 is a deficient number, since it is larger than the sum of its proper divisors (60104).

63736 is a wasteful number, since it uses less digits than its factorization.

63736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 290 counting only the distinct ones).

The product of its digits is 2268, while the sum is 25.

The square root of 63736 is about 252.4598978056. The cubic root of 63736 is about 39.9449242012.

The spelling of 63736 in words is "sixty-three thousand, seven hundred thirty-six".