63712 has 24 divisors (see below), whose sum is σ = 137592. Its totient is φ = 28800.

The previous prime is 63709. The next prime is 63719. The reversal of 63712 is 21736.

63712 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a plaindrome in base 13.

It is a zygodrome in base 2 and base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 63712.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63719) 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, 262 + ... + 442.

It is an arithmetic number, because the mean of its divisors is an integer number (5733).

2⁶³⁷¹² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68796).

63712 is an abundant number, since it is smaller than the sum of its proper divisors (73880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

63712 is a wasteful number, since it uses less digits than its factorization.

63712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 194 counting only the distinct ones).

The product of its digits is 252, while the sum is 19.

The square root of 63712 is about 252.4123610285. The cubic root of 63712 is about 39.9399097743.

The spelling of 63712 in words is "sixty-three thousand, seven hundred twelve".