523752 has 32 divisors (see below), whose sum is σ = 1327200. Its totient is φ = 172224.

The previous prime is 523741. The next prime is 523759. The reversal of 523752 is 257325.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (523759) by changing a digit.

523752 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, 3258 + ... + 3414.

It is an arithmetic number, because the mean of its divisors is an integer number (41475).

2⁵²³⁷⁵² is an apocalyptic number.

It is an amenable number.

523752 is an abundant number, since it is smaller than the sum of its proper divisors (803448).

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

523752 is a wasteful number, since it uses less digits than its factorization.

523752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 301 counting only the distinct ones).

The product of its digits is 2100, while the sum is 24.

The square root of 523752 is about 723.7071230823. The cubic root of 523752 is about 80.6074590769.

Adding to 523752 its sum of digits (24), we get a triangular number (523776 = T₁₀₂₃).

It can be divided in two parts, 523 and 752, that added together give a triangular number (1275 = T₅₀).

The spelling of 523752 in words is "five hundred twenty-three thousand, seven hundred fifty-two".