72784096 has 96 divisors (see below), whose sum is σ = 180956160. Its totient is φ = 27993600.

The previous prime is 72784093. The next prime is 72784097. The reversal of 72784096 is 69048727.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72784093) 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 15 ways as a sum of consecutive naturals, for example, 268441 + ... + 268711.

It is an arithmetic number, because the mean of its divisors is an integer number (1884960).

Almost surely, 2^72784096 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 72784096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90478080).

72784096 is an abundant number, since it is smaller than the sum of its proper divisors (108172064).

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

72784096 is a wasteful number, since it uses less digits than its factorization.

72784096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 43.

The square root of 72784096 is about 8531.3595633990. The cubic root of 72784096 is about 417.5214871750.

The spelling of 72784096 in words is "seventy-two million, seven hundred eighty-four thousand, ninety-six".