72798336 has 96 divisors (see below), whose sum is σ = 225645420. Its totient is φ = 22394880.

The previous prime is 72798307. The next prime is 72798343. The reversal of 72798336 is 63389727.

72798336 = 269² + 270² + ... + 619².

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 72590400 + 207936 = 8520^2 + 456^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 72798291 and 72798300.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12546 + ... + 17406.

Almost surely, 2^72798336 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 72798336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112822710).

72798336 is an abundant number, since it is smaller than the sum of its proper divisors (152847084).

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

72798336 is a wasteful number, since it uses less digits than its factorization.

72798336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4894 (or 4879 counting only the distinct ones).

The product of its digits is 381024, while the sum is 45.

The square root of 72798336 is about 8532.1940906194. The cubic root of 72798336 is about 417.5487143607.

The spelling of 72798336 in words is "seventy-two million, seven hundred ninety-eight thousand, three hundred thirty-six".