63752000 has 112 divisors (see below), whose sum is σ = 170303952. Its totient is φ = 23500800.

The previous prime is 63751993. The next prime is 63752033. The reversal of 63752000 is 25736.

It can be written as a sum of positive squares in 8 ways, for example, as 53816896 + 9935104 = 7336^2 + 3152^2 .

It is a congruent number.

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, 103694 + ... + 104306.

It is an arithmetic number, because the mean of its divisors is an integer number (1520571).

Almost surely, 2^63752000 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 63752000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85151976).

63752000 is an abundant number, since it is smaller than the sum of its proper divisors (106551952).

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

63752000 is a wasteful number, since it uses less digits than its factorization.

63752000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 653 (or 633 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 23.

The square root of 63752000 is about 7984.4849552116. The cubic root of 63752000 is about 399.4826645318.

Adding to 63752000 its reverse (25736), we get a palindrome (63777736).

The spelling of 63752000 in words is "sixty-three million, seven hundred fifty-two thousand".