63513072 has 100 divisors (see below), whose sum is σ = 210116016. Its totient is φ = 18144000.

The previous prime is 63513061. The next prime is 63513089. The reversal of 63513072 is 27031536.

It is a happy number.

63513072 is a `hidden beast` number, since 6 + 351 + 307 + 2 = 666.

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 polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5572 + ... + 12572.

Almost surely, 2^63513072 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 63513072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105058008).

63513072 is an abundant number, since it is smaller than the sum of its proper divisors (146602944).

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

63513072 is a wasteful number, since it uses less digits than its factorization.

63513072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7028 (or 7013 counting only the distinct ones).

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

The square root of 63513072 is about 7969.5088932757. The cubic root of 63513072 is about 398.9829830495.

The spelling of 63513072 in words is "sixty-three million, five hundred thirteen thousand, seventy-two".