72605824320 has 224 divisors, whose sum is σ = 233210039040. Its totient is φ = 19136839680.

The previous prime is 72605824303. The next prime is 72605824321. The reversal of 72605824320 is 2342850627.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72605824321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70422205 + ... + 70423235.

Almost surely, 2^72605824320 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 72605824320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116605019520).

72605824320 is an abundant number, since it is smaller than the sum of its proper divisors (160604214720).

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

72605824320 is a wasteful number, since it uses less digits than its factorization.

72605824320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1833 (or 1823 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

The spelling of 72605824320 in words is "seventy-two billion, six hundred five million, eight hundred twenty-four thousand, three hundred twenty".