72120050000020 has 96 divisors (see below), whose sum is σ = 165576399682176. Its totient is φ = 26168989862400.

The previous prime is 72120049999937. The next prime is 72120050000071. The reversal of 72120050000020 is 2000005002127.

It is a super-2 number, since 2×72120050000020² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1051324362 + ... + 1051392958.

It is an arithmetic number, because the mean of its divisors is an integer number (1724754163356).

Almost surely, 2^{72120050000020} 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 72120050000020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82788199841088).

72120050000020 is an abundant number, since it is smaller than the sum of its proper divisors (93456349682156).

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

72120050000020 is a wasteful number, since it uses less digits than its factorization.

72120050000020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78841 (or 78839 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 19.

Adding to 72120050000020 its reverse (2000005002127), we get a palindrome (74120055002147).

The spelling of 72120050000020 in words is "seventy-two trillion, one hundred twenty billion, fifty million, twenty", and thus it is an aban number.