63407872 has 108 divisors (see below), whose sum is σ = 146800080. Its totient is φ = 27258880.

The previous prime is 63407867. The next prime is 63407893. The reversal of 63407872 is 27870436.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 712404 + ... + 712492.

It is an arithmetic number, because the mean of its divisors is an integer number (1359260).

Almost surely, 2^63407872 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 63407872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73400040).

63407872 is an abundant number, since it is smaller than the sum of its proper divisors (83392208).

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

63407872 is a wasteful number, since it uses less digits than its factorization.

63407872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 37.

The square root of 63407872 is about 7962.9060022080. The cubic root of 63407872 is about 398.7625759014.

The spelling of 63407872 in words is "sixty-three million, four hundred seven thousand, eight hundred seventy-two".