72800844 has 24 divisors (see below), whose sum is σ = 172263168. Its totient is φ = 23924880.

The previous prime is 72800839. The next prime is 72800857. The reversal of 72800844 is 44800827.

It is a super-2 number, since 2×72800844² = 10599925774224672, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41872 + ... + 43575.

It is an arithmetic number, because the mean of its divisors is an integer number (7177632).

Almost surely, 2^72800844 is an apocalyptic number.

It is an amenable number.

72800844 is an abundant number, since it is smaller than the sum of its proper divisors (99462324).

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

72800844 is a wasteful number, since it uses less digits than its factorization.

72800844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85525 (or 85523 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 33.

The square root of 72800844 is about 8532.3410621001. The cubic root of 72800844 is about 417.5535093428.

The spelling of 72800844 in words is "seventy-two million, eight hundred thousand, eight hundred forty-four".