63725928 has 128 divisors (see below), whose sum is σ = 196888320. Its totient is φ = 16773120.

The previous prime is 63725923. The next prime is 63725929. The reversal of 63725928 is 82952736.

It is a super-2 number, since 2×63725928² = 8121987798922368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 63725928.

It is not an unprimeable number, because it can be changed into a prime (63725923) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 151158 + ... + 151578.

It is an arithmetic number, because the mean of its divisors is an integer number (1538190).

Almost surely, 2^63725928 is an apocalyptic number.

63725928 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 63725928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98444160).

63725928 is an abundant number, since it is smaller than the sum of its proper divisors (133162392).

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

63725928 is a wasteful number, since it uses less digits than its factorization.

63725928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507 (or 503 counting only the distinct ones).

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

The square root of 63725928 is about 7982.8521218923. The cubic root of 63725928 is about 399.4281996671.

It can be divided in two parts, 637 and 25928, that added together give a triangular number (26565 = T₂₃₀).

The spelling of 63725928 in words is "sixty-three million, seven hundred twenty-five thousand, nine hundred twenty-eight".