73722288232320 has 1024 divisors, whose sum is σ = 314938568448000. Its totient is φ = 14227775815680.

The previous prime is 73722288232303. The next prime is 73722288232337. The reversal of 73722288232320 is 2323288222737.

It is an interprime number because it is at equal distance from previous prime (73722288232303) and next prime (73722288232337).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 95887830 + ... + 96653610.

It is an arithmetic number, because the mean of its divisors is an integer number (307557195750).

Almost surely, 2^{73722288232320} is an apocalyptic number.

73722288232320 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73722288232320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157469284224000).

73722288232320 is an abundant number, since it is smaller than the sum of its proper divisors (241216280215680).

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

73722288232320 is a wasteful number, since it uses less digits than its factorization.

73722288232320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 765871 (or 765859 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 51.

The spelling of 73722288232320 in words is "seventy-three trillion, seven hundred twenty-two billion, two hundred eighty-eight million, two hundred thirty-two thousand, three hundred twenty".