72855828 has 96 divisors (see below), whose sum is σ = 199557120. Its totient is φ = 22952160.

The previous prime is 72855821. The next prime is 72855841. The reversal of 72855828 is 82855827.

72855828 is a `hidden beast` number, since 72 + 8 + 558 + 28 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72855821) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 157125 + ... + 157587.

It is an arithmetic number, because the mean of its divisors is an integer number (2078720).

Almost surely, 2^72855828 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 72855828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99778560).

72855828 is an abundant number, since it is smaller than the sum of its proper divisors (126701292).

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

72855828 is a wasteful number, since it uses less digits than its factorization.

72855828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554 (or 546 counting only the distinct ones).

The product of its digits is 358400, while the sum is 45.

The square root of 72855828 is about 8535.5625473662. The cubic root of 72855828 is about 417.6586042076.

Subtracting 72855828 from its reverse (82855827), we obtain a palindrome (9999999).

The spelling of 72855828 in words is "seventy-two million, eight hundred fifty-five thousand, eight hundred twenty-eight".