125238672 has 120 divisors (see below), whose sum is σ = 380835000. Its totient is φ = 38191104.

The previous prime is 125238653. The next prime is 125238683. The reversal of 125238672 is 276832521.

It can be written as a sum of positive squares in 4 ways, for example, as 156816 + 125081856 = 396^2 + 11184^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 278704 + ... + 279152.

It is an arithmetic number, because the mean of its divisors is an integer number (3173625).

Almost surely, 2^125238672 is an apocalyptic number.

125238672 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 125238672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190417500).

125238672 is an abundant number, since it is smaller than the sum of its proper divisors (255596328).

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

125238672 is a wasteful number, since it uses less digits than its factorization.

125238672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625 (or 616 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 125238672 is about 11191.0085336399. The cubic root of 125238672 is about 500.3180270081.

The spelling of 125238672 in words is "one hundred twenty-five million, two hundred thirty-eight thousand, six hundred seventy-two".