72332222144 has 112 divisors (see below), whose sum is σ = 177002773248. Its totient is φ = 28559029248.

The previous prime is 72332222141. The next prime is 72332222173. The reversal of 72332222144 is 44122223327.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 72332222144.

It is not an unprimeable number, because it can be changed into a prime (72332222141) 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, 3034079 + ... + 3057825.

It is an arithmetic number, because the mean of its divisors is an integer number (1580381904).

Almost surely, 2^72332222144 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 72332222144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88501386624).

72332222144 is an abundant number, since it is smaller than the sum of its proper divisors (104670551104).

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

72332222144 is a wasteful number, since it uses less digits than its factorization.

72332222144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24302 (or 24292 counting only the distinct ones).

The product of its digits is 32256, while the sum is 32.

The spelling of 72332222144 in words is "seventy-two billion, three hundred thirty-two million, two hundred twenty-two thousand, one hundred forty-four".