72184320 has 240 divisors, whose sum is σ = 270342072. Its totient is φ = 17694720.

The previous prime is 72184319. The next prime is 72184369. The reversal of 72184320 is 2348127.

It can be written as a sum of positive squares in 4 ways, for example, as 53934336 + 18249984 = 7344^2 + 4272^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 299400 + ... + 299640.

Almost surely, 2^72184320 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 72184320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135171036).

72184320 is an abundant number, since it is smaller than the sum of its proper divisors (198157752).

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

72184320 is a wasteful number, since it uses less digits than its factorization.

72184320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 72184320 is about 8496.1355921383. The cubic root of 72184320 is about 416.3714630788.

The spelling of 72184320 in words is "seventy-two million, one hundred eighty-four thousand, three hundred twenty".