63792 has 30 divisors (see below), whose sum is σ = 178932. Its totient is φ = 21216.

The previous prime is 63781. The next prime is 63793. The reversal of 63792 is 29736.

Added to its reverse (29736) it gives a triangular number (93528 = T₄₃₂).

63792 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (63793) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 78 + ... + 365.

2⁶³⁷⁹² is an apocalyptic number.

It is an amenable number.

63792 is an abundant number, since it is smaller than the sum of its proper divisors (115140).

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

63792 is a wasteful number, since it uses less digits than its factorization.

63792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457 (or 448 counting only the distinct ones).

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

The square root of 63792 is about 252.5707821582. The cubic root of 63792 is about 39.9566196373.

Adding to 63792 its reverse (29736), we get a triangular number (93528 = T₄₃₂).

It can be divided in two parts, 637 and 92, that added together give a 6-th power (729 = 3⁶).

The spelling of 63792 in words is "sixty-three thousand, seven hundred ninety-two".