63972720 has 160 divisors (see below), whose sum is σ = 251888640. Its totient is φ = 14618880.

The previous prime is 63972661. The next prime is 63972721. The reversal of 63972720 is 2727936.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63972721) 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 31 ways as a sum of consecutive naturals, for example, 13005 + ... + 17235.

It is an arithmetic number, because the mean of its divisors is an integer number (1574304).

Almost surely, 2^63972720 is an apocalyptic number.

63972720 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 63972720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125944320).

63972720 is an abundant number, since it is smaller than the sum of its proper divisors (187915920).

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

63972720 is a wasteful number, since it uses less digits than its factorization.

63972720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4260 (or 4248 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 63972720 is about 7998.2948182722. The cubic root of 63972720 is about 399.9431585897.

The spelling of 63972720 in words is "sixty-three million, nine hundred seventy-two thousand, seven hundred twenty".