125752 has 16 divisors (see below), whose sum is σ = 257400. Its totient is φ = 57120.

The previous prime is 125743. The next prime is 125753. The reversal of 125752 is 257521.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a d-powerful number, because it can be written as 1 + 2⁸ + 7⁶ + 5⁴ + 5⁵ + 2¹² .

It is a pancake number, because a pancake can be divided into 125752 parts by 501 straight cuts.

It is a nialpdrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125753) by changing a digit.

125752 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 627 + ... + 802.

2¹²⁵⁷⁵² is an apocalyptic number.

It is an amenable number.

125752 is an abundant number, since it is smaller than the sum of its proper divisors (131648).

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

125752 is a wasteful number, since it uses less digits than its factorization.

125752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1446 (or 1442 counting only the distinct ones).

The product of its digits is 700, while the sum is 22.

The square root of 125752 is about 354.6152844986. The cubic root of 125752 is about 50.1000662679.

Subtracting 125752 from its reverse (257521), we obtain a square (131769 = 363²).

The spelling of 125752 in words is "one hundred twenty-five thousand, seven hundred fifty-two".