63253872 has 280 divisors, whose sum is σ = 219561840. Its totient is φ = 17418240.

The previous prime is 63253871. The next prime is 63253877. The reversal of 63253872 is 27835236.

63253872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63253871) 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 55 ways as a sum of consecutive naturals, for example, 2181154 + ... + 2181182.

Almost surely, 2^63253872 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 63253872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109780920).

63253872 is an abundant number, since it is smaller than the sum of its proper divisors (156307968).

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

63253872 is a wasteful number, since it uses less digits than its factorization.

63253872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 62 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 63253872 is about 7953.2302871223. The cubic root of 63253872 is about 398.4394865783.

The spelling of 63253872 in words is "sixty-three million, two hundred fifty-three thousand, eight hundred seventy-two".