63762 has 8 divisors (see below), whose sum is σ = 127536. Its totient is φ = 21252.

The previous prime is 63761. The next prime is 63773. The reversal of 63762 is 26736.

63762 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

63762 is an admirable number.

It is a d-powerful number, because it can be written as 6³ + 3⁴ + 7⁵ + 6⁶ + 2 .

It is not an unprimeable number, because it can be changed into a prime (63761) 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, 5308 + ... + 5319.

It is an arithmetic number, because the mean of its divisors is an integer number (15942).

2⁶³⁷⁶² is an apocalyptic number.

63762 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63768).

63762 is a wasteful number, since it uses less digits than its factorization.

63762 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10632.

The product of its digits is 1512, while the sum is 24.

The square root of 63762 is about 252.5113858819. The cubic root of 63762 is about 39.9503550767.

The spelling of 63762 in words is "sixty-three thousand, seven hundred sixty-two".