73996855752288 has 288 divisors, whose sum is σ = 233620637322240. Its totient is φ = 20426881950720.

The previous prime is 73996855752203. The next prime is 73996855752343. The reversal of 73996855752288 is 88225755869937.

It is a super-3 number, since 3×73996855752288³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (84).

It is a self number, because there is not a number n which added to its sum of digits gives 73996855752288.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 89855170 + ... + 90674942.

It is an arithmetic number, because the mean of its divisors is an integer number (811182768480).

Almost surely, 2^{73996855752288} 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 73996855752288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116810318661120).

73996855752288 is an abundant number, since it is smaller than the sum of its proper divisors (159623781569952).

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

73996855752288 is a wasteful number, since it uses less digits than its factorization.

73996855752288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 820450 (or 820435 counting only the distinct ones).

The product of its digits is 18289152000, while the sum is 84.

The spelling of 73996855752288 in words is "seventy-three trillion, nine hundred ninety-six billion, eight hundred fifty-five million, seven hundred fifty-two thousand, two hundred eighty-eight".