63872952 has 128 divisors (see below), whose sum is σ = 193052160. Its totient is φ = 17349120.

The previous prime is 63872951. The next prime is 63872959. The reversal of 63872952 is 25927836.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63872951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 126733 + ... + 127235.

It is an arithmetic number, because the mean of its divisors is an integer number (1508220).

Almost surely, 2^63872952 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 63872952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96526080).

63872952 is an abundant number, since it is smaller than the sum of its proper divisors (129179208).

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

63872952 is a wasteful number, since it uses less digits than its factorization.

63872952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 573 (or 569 counting only the distinct ones).

The product of its digits is 181440, while the sum is 42.

The square root of 63872952 is about 7992.0555553625. The cubic root of 63872952 is about 399.7351413301.

Subtracting from 63872952 its reverse (25927836), we obtain a triangular number (37945116 = T₈₇₁₁).

It can be divided in two parts, 6387 and 2952, that added together give a palindrome (9339).

The spelling of 63872952 in words is "sixty-three million, eight hundred seventy-two thousand, nine hundred fifty-two".