72223409664 has 360 divisors, whose sum is σ = 244950982848. Its totient is φ = 20424499200.

The previous prime is 72223409647. The next prime is 72223409683. The reversal of 72223409664 is 46690432227.

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 22803409 + ... + 22806575.

Almost surely, 2^72223409664 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 72223409664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122475491424).

72223409664 is an abundant number, since it is smaller than the sum of its proper divisors (172727573184).

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

72223409664 is a wasteful number, since it uses less digits than its factorization.

72223409664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3306 (or 3280 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 72223409664 in words is "seventy-two billion, two hundred twenty-three million, four hundred nine thousand, six hundred sixty-four".