72798912 has 168 divisors, whose sum is σ = 224852992. Its totient is φ = 23328000.

The previous prime is 72798907. The next prime is 72798941. The reversal of 72798912 is 21989727.

It is an unprimeable number.

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, 482037 + ... + 482187.

Almost surely, 2^72798912 is an apocalyptic number.

72798912 is a gapful number since it is divisible by the number (72) 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 72798912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112426496).

72798912 is an abundant number, since it is smaller than the sum of its proper divisors (152054080).

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

72798912 is a wasteful number, since it uses less digits than its factorization.

72798912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 187 counting only the distinct ones).

The product of its digits is 127008, while the sum is 45.

The square root of 72798912 is about 8532.2278450590. The cubic root of 72798912 is about 417.5498156103.

The spelling of 72798912 in words is "seventy-two million, seven hundred ninety-eight thousand, nine hundred twelve".