125632 has 28 divisors (see below), whose sum is σ = 270256. Its totient is φ = 57600.

The previous prime is 125627. The next prime is 125639. The reversal of 125632 is 236521.

It is a happy number.

It is an alternating number because its digits alternate between odd and even.

It is a nialpdrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (125639) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 757 + ... + 907.

It is an arithmetic number, because the mean of its divisors is an integer number (9652).

2¹²⁵⁶³² 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 125632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135128).

125632 is an abundant number, since it is smaller than the sum of its proper divisors (144624).

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

125632 is a wasteful number, since it uses less digits than its factorization.

125632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 166 counting only the distinct ones).

The product of its digits is 360, while the sum is 19.

The square root of 125632 is about 354.4460466700. The cubic root of 125632 is about 50.0841250468.

Subtracting 125632 from its reverse (236521), we obtain a square (110889 = 333²).

It can be divided in two parts, 125 and 632, that added together give a palindrome (757).

The spelling of 125632 in words is "one hundred twenty-five thousand, six hundred thirty-two".