73832109120 has 2016 divisors, whose sum is σ = 354143462400. Its totient is φ = 14287933440.

The previous prime is 73832109107. The next prime is 73832109121. The reversal of 73832109120 is 2190123837.

It is a tau number, because it is divible by the number of its divisors (2016).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73832109121) by changing a digit.

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 287 ways as a sum of consecutive naturals, for example, 1251391651 + ... + 1251391709.

It is an arithmetic number, because the mean of its divisors is an integer number (175666400).

Almost surely, 2^73832109120 is an apocalyptic number.

73832109120 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 73832109120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177071731200).

73832109120 is an abundant number, since it is smaller than the sum of its proper divisors (280311353280).

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

73832109120 is a wasteful number, since it uses less digits than its factorization.

73832109120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 73832109120 in words is "seventy-three billion, eight hundred thirty-two million, one hundred nine thousand, one hundred twenty".