125913072 has 80 divisors (see below), whose sum is σ = 344993792. Its totient is φ = 39502080.

The previous prime is 125913049. The next prime is 125913077. The reversal of 125913072 is 270319521.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125913077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53913 + ... + 56199.

Almost surely, 2^125913072 is an apocalyptic number.

125913072 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 125913072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172496896).

125913072 is an abundant number, since it is smaller than the sum of its proper divisors (219080720).

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

125913072 is a wasteful number, since it uses less digits than its factorization.

125913072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2366 (or 2360 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 30.

The square root of 125913072 is about 11221.0994113768. The cubic root of 125913072 is about 501.2144770360.

The spelling of 125913072 in words is "one hundred twenty-five million, nine hundred thirteen thousand, seventy-two".