72222125488128 has 1152 divisors, whose sum is σ = 275004712120320. Its totient is φ = 17710645248000.

The previous prime is 72222125488109. The next prime is 72222125488141. The reversal of 72222125488128 is 82188452122227.

72222125488128 is a `hidden beast` number, since 7 + 2 + 2 + 2 + 2 + 12 + 548 + 81 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 1803864526 + ... + 1803904562.

It is an arithmetic number, because the mean of its divisors is an integer number (238719368160).

Almost surely, 2^{72222125488128} 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 72222125488128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137502356060160).

72222125488128 is an abundant number, since it is smaller than the sum of its proper divisors (202782586632192).

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

72222125488128 is a wasteful number, since it uses less digits than its factorization.

72222125488128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40155 (or 40132 counting only the distinct ones).

The product of its digits is 4587520, while the sum is 54.

The spelling of 72222125488128 in words is "seventy-two trillion, two hundred twenty-two billion, one hundred twenty-five million, four hundred eighty-eight thousand, one hundred twenty-eight".