72120602210220 has 144 divisors (see below), whose sum is σ = 222214076229600. Its totient is φ = 18929491181568.

The previous prime is 72120602210213. The next prime is 72120602210249. The reversal of 72120602210220 is 2201220602127.

72120602210220 is a `hidden beast` number, since 7 + 2 + 1 + 20 + 602 + 2 + 10 + 2 + 20 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12163756 + ... + 17093804.

It is an arithmetic number, because the mean of its divisors is an integer number (1543153307150).

Almost surely, 2^{72120602210220} 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 72120602210220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111107038114800).

72120602210220 is an abundant number, since it is smaller than the sum of its proper divisors (150093474019380).

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

72120602210220 is a wasteful number, since it uses less digits than its factorization.

72120602210220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4931344 (or 4931339 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

Adding to 72120602210220 its reverse (2201220602127), we get a palindrome (74321822812347).

The spelling of 72120602210220 in words is "seventy-two trillion, one hundred twenty billion, six hundred two million, two hundred ten thousand, two hundred twenty".