72852 has 24 divisors (see below), whose sum is σ = 183456. Its totient is φ = 22368.

The previous prime is 72823. The next prime is 72859. The reversal of 72852 is 25827.

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72859) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 78 + ... + 389.

It is an arithmetic number, because the mean of its divisors is an integer number (7644).

2⁷²⁸⁵² is an apocalyptic number.

It is an amenable number.

72852 is an abundant number, since it is smaller than the sum of its proper divisors (110604).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91728).

72852 is a wasteful number, since it uses less digits than its factorization.

72852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 485 counting only the distinct ones).

The product of its digits is 1120, while the sum is 24.

The square root of 72852 is about 269.9110964744. The cubic root of 72852 is about 41.7651289189.

It can be divided in two parts, 728 and 52, that added together give a triangular number (780 = T₃₉).

The spelling of 72852 in words is "seventy-two thousand, eight hundred fifty-two".