63135072 has 384 divisors, whose sum is σ = 250629120. Its totient is φ = 14929920.

The previous prime is 63135067. The next prime is 63135097. The reversal of 63135072 is 27053136.

It is a happy number.

63135072 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 (27).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 864828 + ... + 864900.

It is an arithmetic number, because the mean of its divisors is an integer number (652680).

Almost surely, 2^63135072 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 63135072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125314560).

63135072 is an abundant number, since it is smaller than the sum of its proper divisors (187494048).

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

63135072 is a wasteful number, since it uses less digits than its factorization.

63135072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 63135072 is about 7945.7581136101. The cubic root of 63135072 is about 398.1898877568.

The spelling of 63135072 in words is "sixty-three million, one hundred thirty-five thousand, seventy-two".