52716 has 24 divisors (see below), whose sum is σ = 129024. Its totient is φ = 16720.

The previous prime is 52711. The next prime is 52721. The reversal of 52716 is 61725.

52716 = T₂₃ + T₂₄ + ... + T₆₈.

It is an interprime number because it is at equal distance from previous prime (52711) and next prime (52721).

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 52692 and 52701.

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 52716.

It is not an unprimeable number, because it can be changed into a prime (52711) by changing a digit.

52716 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, 181 + ... + 371.

It is an arithmetic number, because the mean of its divisors is an integer number (5376).

2⁵²⁷¹⁶ 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 52716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64512).

52716 is an abundant number, since it is smaller than the sum of its proper divisors (76308).

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

52716 is a wasteful number, since it uses less digits than its factorization.

52716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 219 counting only the distinct ones).

The product of its digits is 420, while the sum is 21.

The square root of 52716 is about 229.5996515677. The cubic root of 52716 is about 37.4956439385.

Subtracting 52716 from its reverse (61725), we obtain a palindrome (9009).

It can be divided in two parts, 5271 and 6, that multiplied together give a triangular number (31626 = T₂₅₁).

The spelling of 52716 in words is "fifty-two thousand, seven hundred sixteen".