125972 has 24 divisors (see below), whose sum is σ = 275520. Its totient is φ = 48960.

The previous prime is 125963. The next prime is 126001. The reversal of 125972 is 279521.

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 104 + ... + 512.

It is an arithmetic number, because the mean of its divisors is an integer number (11480).

2¹²⁵⁹⁷² 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 125972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137760).

125972 is an abundant number, since it is smaller than the sum of its proper divisors (149548).

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

125972 is a wasteful number, since it uses less digits than its factorization.

125972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 429 counting only the distinct ones).

The product of its digits is 1260, while the sum is 26.

The square root of 125972 is about 354.9253442627. The cubic root of 125972 is about 50.1292655205.

It can be divided in two parts, 1259 and 72, that added together give a palindrome (1331).

The spelling of 125972 in words is "one hundred twenty-five thousand, nine hundred seventy-two".