125221728 has 72 divisors (see below), whose sum is σ = 349303752. Its totient is φ = 39143424.

The previous prime is 125221717. The next prime is 125221751. The reversal of 125221728 is 827122521.

It is a junction number, because it is equal to n+sod(n) for n = 125221695 and 125221704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 451926 + ... + 452202.

It is an arithmetic number, because the mean of its divisors is an integer number (4851441).

Almost surely, 2^125221728 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 125221728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174651876).

125221728 is an abundant number, since it is smaller than the sum of its proper divisors (224082024).

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

125221728 is an equidigital number, since it uses as much as digits as its factorization.

125221728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584 (or 299 counting only the distinct ones).

The product of its digits is 4480, while the sum is 30.

The square root of 125221728 is about 11190.2514717052. The cubic root of 125221728 is about 500.2954627025.

The spelling of 125221728 in words is "one hundred twenty-five million, two hundred twenty-one thousand, seven hundred twenty-eight".