63144672 has 48 divisors (see below), whose sum is σ = 167488272. Its totient is φ = 20828160.

The previous prime is 63144671. The next prime is 63144703. The reversal of 63144672 is 27644136.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63144671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5922 + ... + 12702.

It is an arithmetic number, because the mean of its divisors is an integer number (3489339).

Almost surely, 2^63144672 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 63144672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83744136).

63144672 is an abundant number, since it is smaller than the sum of its proper divisors (104343600).

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

63144672 is a wasteful number, since it uses less digits than its factorization.

63144672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6891 (or 6883 counting only the distinct ones).

The product of its digits is 24192, while the sum is 33.

The square root of 63144672 is about 7946.3621865606. The cubic root of 63144672 is about 398.2100689813.

The spelling of 63144672 in words is "sixty-three million, one hundred forty-four thousand, six hundred seventy-two".