63972001 has 12 divisors (see below), whose sum is σ = 66658032. Its totient is φ = 61383888.

The previous prime is 63971987. The next prime is 63972011. The reversal of 63972001 is 10027936.

It is not a de Polignac number, because 63972001 - 2¹⁷ = 63840929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (63972011) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 113346 + ... + 113908.

It is an arithmetic number, because the mean of its divisors is an integer number (5554836).

Almost surely, 2^63972001 is an apocalyptic number.

It is an amenable number.

63972001 is a deficient number, since it is larger than the sum of its proper divisors (2686031).

63972001 is an equidigital number, since it uses as much as digits as its factorization.

63972001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 720 (or 683 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 28.

The square root of 63972001 is about 7998.2498710655. The cubic root of 63972001 is about 399.9416602416.

Adding to 63972001 its reverse (10027936), we get a palindrome (73999937).

The spelling of 63972001 in words is "sixty-three million, nine hundred seventy-two thousand, one".