125166072 has 64 divisors (see below), whose sum is σ = 335664000. Its totient is φ = 38772864.

The previous prime is 125166061. The next prime is 125166073. The reversal of 125166072 is 270661521.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125166073) 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 15 ways as a sum of consecutive naturals, for example, 21579 + ... + 26757.

It is an arithmetic number, because the mean of its divisors is an integer number (5244750).

Almost surely, 2^125166072 is an apocalyptic number.

125166072 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 125166072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167832000).

125166072 is an abundant number, since it is smaller than the sum of its proper divisors (210497928).

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

125166072 is a wasteful number, since it uses less digits than its factorization.

125166072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5260 (or 5256 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 125166072 is about 11187.7643879374. The cubic root of 125166072 is about 500.2213313437.

The spelling of 125166072 in words is "one hundred twenty-five million, one hundred sixty-six thousand, seventy-two".