72044344632 has 128 divisors (see below), whose sum is σ = 195616008000. Its totient is φ = 21979496448.

The previous prime is 72044344583. The next prime is 72044344637. The reversal of 72044344632 is 23644344027.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72044344637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28262494 + ... + 28265042.

Almost surely, 2^72044344632 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 72044344632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97808004000).

72044344632 is an abundant number, since it is smaller than the sum of its proper divisors (123571663368).

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

72044344632 is a wasteful number, since it uses less digits than its factorization.

72044344632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3305 (or 3301 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 39.

Adding to 72044344632 its reverse (23644344027), we get a palindrome (95688688659).

The spelling of 72044344632 in words is "seventy-two billion, forty-four million, three hundred forty-four thousand, six hundred thirty-two".