72021101726960 has 80 divisors (see below), whose sum is σ = 170348007610080. Its totient is φ = 28310046105600.

The previous prime is 72021101726929. The next prime is 72021101727031. The reversal of 72021101726960 is 6962710112027.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10496924 + ... + 15944516.

It is an arithmetic number, because the mean of its divisors is an integer number (2129350095126).

Almost surely, 2^{72021101726960} 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 72021101726960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85174003805040).

72021101726960 is an abundant number, since it is smaller than the sum of its proper divisors (98326905883120).

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

72021101726960 is a wasteful number, since it uses less digits than its factorization.

72021101726960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5450466 (or 5450460 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 44.

Adding to 72021101726960 its reverse (6962710112027), we get a palindrome (78983811838987).

The spelling of 72021101726960 in words is "seventy-two trillion, twenty-one billion, one hundred one million, seven hundred twenty-six thousand, nine hundred sixty".