63552 has 28 divisors (see below), whose sum is σ = 168656. Its totient is φ = 21120.

The previous prime is 63541. The next prime is 63559. The reversal of 63552 is 25536.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (63559) by changing a digit.

63552 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 27 + ... + 357.

2⁶³⁵⁵² 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 63552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84328).

63552 is an abundant number, since it is smaller than the sum of its proper divisors (105104).

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

63552 is a wasteful number, since it uses less digits than its factorization.

63552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 336 counting only the distinct ones).

The product of its digits is 900, while the sum is 21.

The square root of 63552 is about 252.0952201054. The cubic root of 63552 is about 39.9064480380.

It can be divided in two parts, 6 and 3552, that multiplied together give a palindrome (21312).

The spelling of 63552 in words is "sixty-three thousand, five hundred fifty-two".