73444413932736 has 672 divisors, whose sum is σ = 259662906835200. Its totient is φ = 18066415288320.

The previous prime is 73444413932713. The next prime is 73444413932737. The reversal of 73444413932736 is 63723931444437.

It is a happy number.

73444413932736 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (672).

It is a self number, because there is not a number n which added to its sum of digits gives 73444413932736.

It is not an unprimeable number, because it can be changed into a prime (73444413932737) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9849052720 + ... + 9849060176.

Almost surely, 2^{73444413932736} is an apocalyptic number.

73444413932736 is a gapful number since it is divisible by the number (76) 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 73444413932736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129831453417600).

73444413932736 is an abundant number, since it is smaller than the sum of its proper divisors (186218492902464).

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

73444413932736 is a wasteful number, since it uses less digits than its factorization.

73444413932736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12525 (or 12508 counting only the distinct ones).

The product of its digits is 109734912, while the sum is 60.

The spelling of 73444413932736 in words is "seventy-three trillion, four hundred forty-four billion, four hundred thirteen million, nine hundred thirty-two thousand, seven hundred thirty-six".