73187712000 has 1056 divisors, whose sum is σ = 296171488704. Its totient is φ = 17915904000.

The previous prime is 73187711983. The next prime is 73187712001. The reversal of 73187712000 is 21778137.

It is a happy number.

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 (73187712001) 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 95 ways as a sum of consecutive naturals, for example, 404351910 + ... + 404352090.

Almost surely, 2^73187712000 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 73187712000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148085744352).

73187712000 is an abundant number, since it is smaller than the sum of its proper divisors (222983776704).

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

73187712000 is a wasteful number, since it uses less digits than its factorization.

73187712000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 16464, while the sum is 36.

The spelling of 73187712000 in words is "seventy-three billion, one hundred eighty-seven million, seven hundred twelve thousand".