73989709200 has 810 divisors, whose sum is σ = 294327009522. Its totient is φ = 17859916800.

The previous prime is 73989709193. The next prime is 73989709201. The reversal of 73989709200 is 290798937.

It can be written as a sum of positive squares in 3 ways, for example, as 622402704 + 73367306496 = 24948^2 + 270864^2 .

It is a tau number, because it is divible by the number of its divisors (810).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (73989709201) by changing a digit.

It is a polite number, since it can be written in 161 ways as a sum of consecutive naturals, for example, 317552284 + ... + 317552516.

Almost surely, 2^73989709200 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 73989709200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147163504761).

73989709200 is an abundant number, since it is smaller than the sum of its proper divisors (220337300322).

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

73989709200 is a wasteful number, since it uses less digits than its factorization.

73989709200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 1714608, while the sum is 54.

The spelling of 73989709200 in words is "seventy-three billion, nine hundred eighty-nine million, seven hundred nine thousand, two hundred".