125728032 has 48 divisors (see below), whose sum is σ = 333329472. Its totient is φ = 41491200.

The previous prime is 125728027. The next prime is 125728049. The reversal of 125728032 is 230827521.

It is a tau number, because it is divible by the number of its divisors (48).

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, 3213 + ... + 16179.

It is an arithmetic number, because the mean of its divisors is an integer number (6944364).

Almost surely, 2^125728032 is an apocalyptic number.

125728032 is a gapful number since it is divisible by the number (12) 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 125728032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166664736).

125728032 is an abundant number, since it is smaller than the sum of its proper divisors (207601440).

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

125728032 is a wasteful number, since it uses less digits than its factorization.

125728032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13081 (or 13073 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 125728032 is about 11212.8511985132. The cubic root of 125728032 is about 500.9688308544.

The spelling of 125728032 in words is "one hundred twenty-five million, seven hundred twenty-eight thousand, thirty-two".