52724 has 18 divisors (see below), whose sum is σ = 107730. Its totient is φ = 22512.

The previous prime is 52721. The next prime is 52727. The reversal of 52724 is 42725.

It is an interprime number because it is at equal distance from previous prime (52721) and next prime (52727).

It can be written as a sum of positive squares in only one way, i.e., 33124 + 19600 = 182^2 + 140^2 .

It is a d-powerful number, because it can be written as 5⁵ + 2³ + 7⁵ + 2¹⁵ + 4² .

It is a junction number, because it is equal to n+sod(n) for n = 52696 and 52705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52721) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 62 + ... + 330.

It is an arithmetic number, because the mean of its divisors is an integer number (5985).

2⁵²⁷²⁴ 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 52724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53865).

52724 is an abundant number, since it is smaller than the sum of its proper divisors (55006).

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

52724 is a wasteful number, since it uses less digits than its factorization.

52724 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 278 counting only the distinct ones).

The product of its digits is 560, while the sum is 20.

The square root of 52724 is about 229.6170725360. The cubic root of 52724 is about 37.4975405794.

Subtracting from 52724 its reverse (42725), we obtain a palindrome (9999).

The spelling of 52724 in words is "fifty-two thousand, seven hundred twenty-four".