524772 has 48 divisors (see below), whose sum is σ = 1404480. Its totient is φ = 169344.

The previous prime is 524743. The next prime is 524789. The reversal of 524772 is 277425.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 524772.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4588 + ... + 4700.

It is an arithmetic number, because the mean of its divisors is an integer number (29260).

2⁵²⁴⁷⁷² 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 524772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (702240).

524772 is an abundant number, since it is smaller than the sum of its proper divisors (879708).

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

524772 is a wasteful number, since it uses less digits than its factorization.

524772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 161 counting only the distinct ones).

The product of its digits is 3920, while the sum is 27.

The square root of 524772 is about 724.4114852762. The cubic root of 524772 is about 80.6597524601.

It can be divided in two parts, 524 and 772, that added together give a 4-th power (1296 = 6⁴).

The spelling of 524772 in words is "five hundred twenty-four thousand, seven hundred seventy-two".