73233059328 has 720 divisors, whose sum is σ = 255131420544. Its totient is φ = 20041482240.

The previous prime is 73233059309. The next prime is 73233059359. The reversal of 73233059328 is 82395033237.

It is a happy number.

73233059328 is a `hidden beast` number, since 7 + 3 + 2 + 3 + 30 + 593 + 28 = 666.

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 71 ways as a sum of consecutive naturals, for example, 711000525 + ... + 711000627.

Almost surely, 2^73233059328 is an apocalyptic number.

73233059328 is a gapful number since it is divisible by the number (78) 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 73233059328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127565710272).

73233059328 is an abundant number, since it is smaller than the sum of its proper divisors (181898361216).

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

73233059328 is a wasteful number, since it uses less digits than its factorization.

73233059328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The spelling of 73233059328 in words is "seventy-three billion, two hundred thirty-three million, fifty-nine thousand, three hundred twenty-eight".