63267672 has 64 divisors (see below), whose sum is σ = 171360000. Its totient is φ = 19350144.

The previous prime is 63267653. The next prime is 63267689. The reversal of 63267672 is 27676236.

63267672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 63267672.

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 15 ways as a sum of consecutive naturals, for example, 61579 + ... + 62597.

It is an arithmetic number, because the mean of its divisors is an integer number (2677500).

Almost surely, 2^63267672 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 63267672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85680000).

63267672 is an abundant number, since it is smaller than the sum of its proper divisors (108092328).

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

63267672 is a wasteful number, since it uses less digits than its factorization.

63267672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1240 (or 1236 counting only the distinct ones).

The product of its digits is 127008, while the sum is 39.

The square root of 63267672 is about 7954.0978118200. The cubic root of 63267672 is about 398.4684601148.

The spelling of 63267672 in words is "sixty-three million, two hundred sixty-seven thousand, six hundred seventy-two".