63125272 has 32 divisors (see below), whose sum is σ = 136674720. Its totient is φ = 26772480.

The previous prime is 63125263. The next prime is 63125273. The reversal of 63125272 is 27252136.

63125272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 63125272.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63125273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 379 + ... + 11242.

It is an arithmetic number, because the mean of its divisors is an integer number (4271085).

Almost surely, 2^63125272 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 63125272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68337360).

63125272 is an abundant number, since it is smaller than the sum of its proper divisors (73549448).

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

63125272 is a wasteful number, since it uses less digits than its factorization.

63125272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11731 (or 11727 counting only the distinct ones).

The product of its digits is 5040, while the sum is 28.

The square root of 63125272 is about 7945.1414084332. The cubic root of 63125272 is about 398.1692839798.

The spelling of 63125272 in words is "sixty-three million, one hundred twenty-five thousand, two hundred seventy-two".