72828 has 54 divisors (see below), whose sum is σ = 223496. Its totient is φ = 19584.

The previous prime is 72823. The next prime is 72859. The reversal of 72828 is 82827.

It is an Ulam number.

It is a nialpdrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72823) by changing a digit.

72828 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 17 ways as a sum of consecutive naturals, for example, 4276 + ... + 4292.

2⁷²⁸²⁸ 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 72828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111748).

72828 is an abundant number, since it is smaller than the sum of its proper divisors (150668).

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

72828 is a wasteful number, since it uses less digits than its factorization.

72828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51 (or 29 counting only the distinct ones).

The product of its digits is 1792, while the sum is 27.

The square root of 72828 is about 269.8666337286. The cubic root of 72828 is about 41.7605421165.

Multiplying 72828 by its product of digits (1792), we get a square (130507776 = 11424²).

Subtracting 72828 from its reverse (82827), we obtain a palindrome (9999).

It can be divided in two parts, 72 and 828, that added together give a square (900 = 30²).

The spelling of 72828 in words is "seventy-two thousand, eight hundred twenty-eight".