72248332320 has 768 divisors, whose sum is σ = 274232770560. Its totient is φ = 17942031360.

The previous prime is 72248332291. The next prime is 72248332337. The reversal of 72248332320 is 2323384227.

72248332320 is a `hidden beast` number, since 7 + 224 + 83 + 32 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 378263425 + ... + 378263615.

It is an arithmetic number, because the mean of its divisors is an integer number (357073920).

Almost surely, 2^72248332320 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 72248332320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137116385280).

72248332320 is an abundant number, since it is smaller than the sum of its proper divisors (201984438240).

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

72248332320 is a wasteful number, since it uses less digits than its factorization.

72248332320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The spelling of 72248332320 in words is "seventy-two billion, two hundred forty-eight million, three hundred thirty-two thousand, three hundred twenty".