73583882120 has 96 divisors (see below), whose sum is σ = 192722506200. Its totient is φ = 25211999232.

The previous prime is 73583882093. The next prime is 73583882159. The reversal of 73583882120 is 2128838537.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 60169146436 + 13414735684 = 245294^2 + 115822^2 .

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 3141974 + ... + 3165306.

Almost surely, 2^73583882120 is an apocalyptic number.

73583882120 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 73583882120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96361253100).

73583882120 is an abundant number, since it is smaller than the sum of its proper divisors (119138624080).

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

73583882120 is a wasteful number, since it uses less digits than its factorization.

73583882120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24967 (or 24956 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 47.

The spelling of 73583882120 in words is "seventy-three billion, five hundred eighty-three million, eight hundred eighty-two thousand, one hundred twenty".