525972 has 24 divisors (see below), whose sum is σ = 1251936. Its totient is φ = 171808.

The previous prime is 525961. The next prime is 525979. The reversal of 525972 is 279525.

It is a happy number.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a d-powerful number, because it can be written as 5⁶ + 2⁴ + 9 + 5⁸ + 7⁶ + 2¹¹ .

It is a nialpdrome in base 14.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 525972.

It is not an unprimeable number, because it can be changed into a prime (525979) by changing a digit.

525972 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 7 ways as a sum of consecutive naturals, for example, 223 + ... + 1049.

It is an arithmetic number, because the mean of its divisors is an integer number (52164).

2⁵²⁵⁹⁷² is an apocalyptic number.

It is an amenable number.

525972 is an abundant number, since it is smaller than the sum of its proper divisors (725964).

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

525972 is a wasteful number, since it uses less digits than its factorization.

525972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 887 (or 885 counting only the distinct ones).

The product of its digits is 6300, while the sum is 30.

The square root of 525972 is about 725.2392708617. The cubic root of 525972 is about 80.7211874061.

The spelling of 525972 in words is "five hundred twenty-five thousand, nine hundred seventy-two".