63315072 has 192 divisors, whose sum is σ = 199775160. Its totient is φ = 19169280.

The previous prime is 63315061. The next prime is 63315073. The reversal of 63315072 is 27051336.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 52186176 + 11128896 = 7224^2 + 3336^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (63315073) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1037922 + ... + 1037982.

Almost surely, 2^63315072 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 63315072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99887580).

63315072 is an abundant number, since it is smaller than the sum of its proper divisors (136460088).

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

63315072 is a wasteful number, since it uses less digits than its factorization.

63315072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 136 counting only the distinct ones).

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

The square root of 63315072 is about 7957.0768502007. The cubic root of 63315072 is about 398.5679458372.

The spelling of 63315072 in words is "sixty-three million, three hundred fifteen thousand, seventy-two".