63727552 has 56 divisors (see below), whose sum is σ = 147035520. Its totient is φ = 26837760.

The previous prime is 63727523. The next prime is 63727553. The reversal of 63727552 is 25572736.

63727552 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×63727552² = 8122401767825408, which contains 22 as substring.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63727553) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25227 + ... + 27637.

Almost surely, 2^63727552 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 63727552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73517760).

63727552 is an abundant number, since it is smaller than the sum of its proper divisors (83307968).

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

63727552 is a wasteful number, since it uses less digits than its factorization.

63727552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2489 (or 2479 counting only the distinct ones).

The product of its digits is 88200, while the sum is 37.

The square root of 63727552 is about 7982.9538392753. The cubic root of 63727552 is about 399.4315926653.

It can be divided in two parts, 6372 and 7552, that added together give a square (13924 = 118²).

The spelling of 63727552 in words is "sixty-three million, seven hundred twenty-seven thousand, five hundred fifty-two".