73169001600 has 192 divisors, whose sum is σ = 245549283840. Its totient is φ = 19143454720.

The previous prime is 73169001599. The next prime is 73169001613. The reversal of 73169001600 is 610096137.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 436897 + ... + 580703.

It is an arithmetic number, because the mean of its divisors is an integer number (1278902520).

Almost surely, 2^73169001600 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 73169001600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122774641920).

73169001600 is an abundant number, since it is smaller than the sum of its proper divisors (172380282240).

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

73169001600 is a wasteful number, since it uses less digits than its factorization.

73169001600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143887 (or 143870 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 33.

Adding to 73169001600 its reverse (610096137), we get a palindrome (73779097737).

The spelling of 73169001600 in words is "seventy-three billion, one hundred sixty-nine million, one thousand, six hundred".