73331569872 has 360 divisors, whose sum is σ = 234909409280. Its totient is φ = 21315571200.

The previous prime is 73331569823. The next prime is 73331569879. The reversal of 73331569872 is 27896513337.

73331569872 is a `hidden beast` number, since 7 + 3 + 3 + 3 + 1 + 569 + 8 + 72 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73331569879) 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 71 ways as a sum of consecutive naturals, for example, 68597754 + ... + 68598822.

Almost surely, 2^73331569872 is an apocalyptic number.

73331569872 is a gapful number since it is divisible by the number (72) 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 73331569872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117454704640).

73331569872 is an abundant number, since it is smaller than the sum of its proper divisors (161577839408).

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

73331569872 is a wasteful number, since it uses less digits than its factorization.

73331569872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1263 (or 1243 counting only the distinct ones).

The product of its digits is 5715360, while the sum is 54.

The spelling of 73331569872 in words is "seventy-three billion, three hundred thirty-one million, five hundred sixty-nine thousand, eight hundred seventy-two".