125343072 has 96 divisors (see below), whose sum is σ = 367718400. Its totient is φ = 41537664.

The previous prime is 125343047. The next prime is 125343079. The reversal of 125343072 is 270343521.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125343079) 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, 206193 + ... + 206799.

It is an arithmetic number, because the mean of its divisors is an integer number (3830400).

Almost surely, 2^125343072 is an apocalyptic number.

125343072 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 125343072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183859200).

125343072 is an abundant number, since it is smaller than the sum of its proper divisors (242375328).

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

125343072 is a wasteful number, since it uses less digits than its factorization.

125343072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 865 (or 851 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 125343072 is about 11195.6720209195. The cubic root of 125343072 is about 500.4570114871.

Adding to 125343072 its reverse (270343521), we get a palindrome (395686593).

The spelling of 125343072 in words is "one hundred twenty-five million, three hundred forty-three thousand, seventy-two".