125771072 has 56 divisors (see below), whose sum is σ = 286365696. Its totient is φ = 53687808.

The previous prime is 125771059. The next prime is 125771077. The reversal of 125771072 is 270177521.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125771077) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 171218 + ... + 171950.

Almost surely, 2^125771072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125771072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143182848).

125771072 is an abundant number, since it is smaller than the sum of its proper divisors (160594624).

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

125771072 is an equidigital number, since it uses as much as digits as its factorization.

125771072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1135 (or 1125 counting only the distinct ones).

The product of its (nonzero) digits is 6860, while the sum is 32.

The square root of 125771072 is about 11214.7702606875. The cubic root of 125771072 is about 501.0259892521.

The spelling of 125771072 in words is "one hundred twenty-five million, seven hundred seventy-one thousand, seventy-two".