72800000 has 216 divisors, whose sum is σ = 223548192. Its totient is φ = 23040000.

The previous prime is 72799973. The next prime is 72800003. The reversal of 72800000 is 827.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72800003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5599994 + ... + 5600006.

Almost surely, 2^72800000 is an apocalyptic number.

72800000 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111774096).

72800000 is an abundant number, since it is smaller than the sum of its proper divisors (150748192).

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

72800000 is an frugal number, since it uses more digits than its factorization.

72800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 17.

The square root of 72800000 is about 8532.2916030806. The cubic root of 72800000 is about 417.5518957327.

Adding to 72800000 its reverse (827), we get a palindrome (72800827).

The spelling of 72800000 in words is "seventy-two million, eight hundred thousand".