72043821024 has 96 divisors (see below), whose sum is σ = 216935470080. Its totient is φ = 20507377152.

The previous prime is 72043821023. The next prime is 72043821049. The reversal of 72043821024 is 42012834027.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72043821023) 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 15 ways as a sum of consecutive naturals, for example, 18504 + ... + 380039.

It is an arithmetic number, because the mean of its divisors is an integer number (2259744480).

Almost surely, 2^72043821024 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 72043821024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108467735040).

72043821024 is an abundant number, since it is smaller than the sum of its proper divisors (144891649056).

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

72043821024 is a wasteful number, since it uses less digits than its factorization.

72043821024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398832 (or 398824 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The spelling of 72043821024 in words is "seventy-two billion, forty-three million, eight hundred twenty-one thousand, twenty-four".