73221107328 has 160 divisors (see below), whose sum is σ = 220532780160. Its totient is φ = 24112691712.

The previous prime is 73221107273. The next prime is 73221107341. The reversal of 73221107328 is 82370112237.

73221107328 is a `hidden beast` number, since 7 + 3 + 221 + 107 + 328 = 666.

It is a super-2 number, since 2×73221107328² (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 73221107292 and 73221107301.

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 19 ways as a sum of consecutive naturals, for example, 818001 + ... + 903087.

It is an arithmetic number, because the mean of its divisors is an integer number (1378329876).

Almost surely, 2^73221107328 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 73221107328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110266390080).

73221107328 is an abundant number, since it is smaller than the sum of its proper divisors (147311672832).

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

73221107328 is an equidigital number, since it uses as much as digits as its factorization.

73221107328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85196 (or 85175 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 73221107328 in words is "seventy-three billion, two hundred twenty-one million, one hundred seven thousand, three hundred twenty-eight".