63147672 has 96 divisors (see below), whose sum is σ = 199524000. Its totient is φ = 18035136.

The previous prime is 63147631. The next prime is 63147683. The reversal of 63147672 is 27674136.

63147672 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 nude number because it is divisible by every one of its digits.

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 23 ways as a sum of consecutive naturals, for example, 23418 + ... + 25974.

It is an arithmetic number, because the mean of its divisors is an integer number (2078375).

Almost surely, 2^63147672 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 63147672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99762000).

63147672 is an abundant number, since it is smaller than the sum of its proper divisors (136376328).

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

63147672 is a wasteful number, since it uses less digits than its factorization.

63147672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2590 (or 2569 counting only the distinct ones).

The product of its digits is 42336, while the sum is 36.

The square root of 63147672 is about 7946.5509499405. The cubic root of 63147672 is about 398.2163751945.

The spelling of 63147672 in words is "sixty-three million, one hundred forty-seven thousand, six hundred seventy-two".