72443695104 has 468 divisors, whose sum is σ = 233676943500. Its totient is φ = 21605253120.

The previous prime is 72443695087. The next prime is 72443695117. The reversal of 72443695104 is 40159634427.

72443695104 is a `hidden beast` number, since 7 + 24 + 436 + 95 + 104 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 27838255104 + 44605440000 = 166848^2 + 211200^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 72443695104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 486199222 + ... + 486199370.

Almost surely, 2^72443695104 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 72443695104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116838471750).

72443695104 is an abundant number, since it is smaller than the sum of its proper divisors (161233248396).

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

72443695104 is a wasteful number, since it uses less digits than its factorization.

72443695104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 72443695104 in words is "seventy-two billion, four hundred forty-three million, six hundred ninety-five thousand, one hundred four".