73105119700704 has 1920 divisors, whose sum is σ = 286581867264000. Its totient is φ = 17747737362432.

The previous prime is 73105119700663. The next prime is 73105119700709. The reversal of 73105119700704 is 40700791150137.

It is a self number, because there is not a number n which added to its sum of digits gives 73105119700704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73105119700709) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 65919854902 + ... + 65919856010.

It is an arithmetic number, because the mean of its divisors is an integer number (149261389200).

Almost surely, 2^{73105119700704} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73105119700704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143290933632000).

73105119700704 is an abundant number, since it is smaller than the sum of its proper divisors (213476747563296).

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

73105119700704 is a wasteful number, since it uses less digits than its factorization.

73105119700704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1622 (or 1605 counting only the distinct ones).

The product of its (nonzero) digits is 185220, while the sum is 45.

The spelling of 73105119700704 in words is "seventy-three trillion, one hundred five billion, one hundred nineteen million, seven hundred thousand, seven hundred four".