63712000 has 144 divisors (see below), whose sum is σ = 174099744. Its totient is φ = 23040000.

The previous prime is 63711983. The next prime is 63712057. The reversal of 63712000 is 21736.

It is a hoax number, since the sum of its digits (19) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 351910 + ... + 352090.

It is an arithmetic number, because the mean of its divisors is an integer number (1209026).

Almost surely, 2^63712000 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 63712000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87049872).

63712000 is an abundant number, since it is smaller than the sum of its proper divisors (110387744).

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

63712000 is a wasteful number, since it uses less digits than its factorization.

63712000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 19.

The square root of 63712000 is about 7981.9797043090. The cubic root of 63712000 is about 399.3990977432.

Adding to 63712000 its reverse (21736), we get a palindrome (63733736).

The spelling of 63712000 in words is "sixty-three million, seven hundred twelve thousand".