125730 has 48 divisors (see below), whose sum is σ = 359424. Its totient is φ = 30240.

The previous prime is 125717. The next prime is 125731. The reversal of 125730 is 37521.

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

It is a nialpdrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (125731) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 927 + ... + 1053.

It is an arithmetic number, because the mean of its divisors is an integer number (7488).

2¹²⁵⁷³⁰ is an apocalyptic number.

125730 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 125730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179712).

125730 is an abundant number, since it is smaller than the sum of its proper divisors (233694).

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

125730 is a wasteful number, since it uses less digits than its factorization.

125730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 125730 is about 354.5842636102. The cubic root of 125730 is about 50.0971444701.

Subtracting from 125730 its reverse (37521), we obtain a square (88209 = 297²).

The spelling of 125730 in words is "one hundred twenty-five thousand, seven hundred thirty".