125728200 has 288 divisors, whose sum is σ = 473928000. Its totient is φ = 30792960.

The previous prime is 125728177. The next prime is 125728201. The reversal of 125728200 is 2827521.

125728200 is a `hidden beast` number, since 12 + 572 + 82 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (125728201) 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 71 ways as a sum of consecutive naturals, for example, 631701 + ... + 631899.

Almost surely, 2^125728200 is an apocalyptic number.

125728200 is a gapful number since it is divisible by the number (10) 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 125728200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236964000).

125728200 is an abundant number, since it is smaller than the sum of its proper divisors (348199800).

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

125728200 is a wasteful number, since it uses less digits than its factorization.

125728200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 125728200 is about 11212.8586899149. The cubic root of 125728200 is about 500.9690539887.

The spelling of 125728200 in words is "one hundred twenty-five million, seven hundred twenty-eight thousand, two hundred".