63872128 has 64 divisors (see below), whose sum is σ = 136323000. Its totient is φ = 29704192.

The previous prime is 63872113. The next prime is 63872131. The reversal of 63872128 is 82127836.

It can be written as a sum of positive squares in 4 ways, for example, as 62599744 + 1272384 = 7912^2 + 1128^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 324126 + ... + 324322.

Almost surely, 2^63872128 is an apocalyptic number.

63872128 is a gapful number since it is divisible by the number (68) 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 63872128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68161500).

63872128 is an abundant number, since it is smaller than the sum of its proper divisors (72450872).

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

63872128 is a wasteful number, since it uses less digits than its factorization.

63872128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 365 counting only the distinct ones).

The product of its digits is 32256, while the sum is 37.

The square root of 63872128 is about 7992.0040040030. The cubic root of 63872128 is about 399.7334223804.

It can be divided in two parts, 63872 and 128, that added together give a cube (64000 = 40³).

The spelling of 63872128 in words is "sixty-three million, eight hundred seventy-two thousand, one hundred twenty-eight".