72841320 has 192 divisors, whose sum is σ = 250698240. Its totient is φ = 18316800.

The previous prime is 72841313. The next prime is 72841331. The reversal of 72841320 is 2314827.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 680707 + ... + 680813.

It is an arithmetic number, because the mean of its divisors is an integer number (1305720).

Almost surely, 2^72841320 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 72841320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125349120).

72841320 is an abundant number, since it is smaller than the sum of its proper divisors (177856920).

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

72841320 is a wasteful number, since it uses less digits than its factorization.

72841320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 209 counting only the distinct ones).

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

The square root of 72841320 is about 8534.7126489414. The cubic root of 72841320 is about 417.6308791629.

The spelling of 72841320 in words is "seventy-two million, eight hundred forty-one thousand, three hundred twenty".