125712 has 50 divisors (see below), whose sum is σ = 367598. Its totient is φ = 41472.

The previous prime is 125711. The next prime is 125717. The reversal of 125712 is 217521.

It can be written as a sum of positive squares in only one way, i.e., 104976 + 20736 = 324^2 + 144^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (125711) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1248 + ... + 1344.

2¹²⁵⁷¹² is an apocalyptic number.

125712 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 125712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183799).

125712 is an abundant number, since it is smaller than the sum of its proper divisors (241886).

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

125712 is an equidigital number, since it uses as much as digits as its factorization.

125712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 102 counting only the distinct ones).

The product of its digits is 140, while the sum is 18.

The square root of 125712 is about 354.5588808647. The cubic root of 125712 is about 50.0947536548.

Subtracting 125712 from its reverse (217521), we obtain a square (91809 = 303²).

The spelling of 125712 in words is "one hundred twenty-five thousand, seven hundred twelve".