63672000 has 224 divisors, whose sum is σ = 240913920. Its totient is φ = 14515200.

The previous prime is 63671977. The next prime is 63672013. The reversal of 63672000 is 27636.

63672000 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 (224).

It is a Harshad number since it is a multiple of its sum of digits (24).

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 31 ways as a sum of consecutive naturals, for example, 167811 + ... + 168189.

Almost surely, 2^63672000 is an apocalyptic number.

63672000 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 63672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120456960).

63672000 is an abundant number, since it is smaller than the sum of its proper divisors (177241920).

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

63672000 is a wasteful number, since it uses less digits than its factorization.

63672000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 24.

The square root of 63672000 is about 7979.4736668530. The cubic root of 63672000 is about 399.3154959704.

Adding to 63672000 its reverse (27636), we get a palindrome (63699636).

The spelling of 63672000 in words is "sixty-three million, six hundred seventy-two thousand".