63772560 has 120 divisors (see below), whose sum is σ = 223539264. Its totient is φ = 16262400.

The previous prime is 63772547. The next prime is 63772591. The reversal of 63772560 is 6527736.

It is a happy number.

63772560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 14635 + ... + 18485.

Almost surely, 2^63772560 is an apocalyptic number.

63772560 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63772560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111769632).

63772560 is an abundant number, since it is smaller than the sum of its proper divisors (159766704).

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

63772560 is a wasteful number, since it uses less digits than its factorization.

63772560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3893 (or 3884 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The square root of 63772560 is about 7985.7723483706. The cubic root of 63772560 is about 399.5256042608.

The spelling of 63772560 in words is "sixty-three million, seven hundred seventy-two thousand, five hundred sixty".