72090176716800 has 3168 divisors, whose sum is σ = 321293005038720. Its totient is φ = 15220290355200.

The previous prime is 72090176716787. The next prime is 72090176716829. The reversal of 72090176716800 is 861767109027.

It is a tau number, because it is divible by the number of its divisors (3168).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1676515737579 + ... + 1676515737621.

It is an arithmetic number, because the mean of its divisors is an integer number (101418246540).

Almost surely, 2^{72090176716800} 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 72090176716800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160646502519360).

72090176716800 is an abundant number, since it is smaller than the sum of its proper divisors (249202828321920).

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

72090176716800 is a wasteful number, since it uses less digits than its factorization.

72090176716800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 1778112, while the sum is 54.

The spelling of 72090176716800 in words is "seventy-two trillion, ninety billion, one hundred seventy-six million, seven hundred sixteen thousand, eight hundred".