72342177224000 has 112 divisors (see below), whose sum is σ = 179270349672960. Its totient is φ = 28918304729600.

The previous prime is 72342177223993. The next prime is 72342177224011. The reversal of 72342177224000 is 42277124327.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9571817 + ... + 15372183.

It is an arithmetic number, because the mean of its divisors is an integer number (1600628122080).

Almost surely, 2^{72342177224000} 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 72342177224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89635174836480).

72342177224000 is an abundant number, since it is smaller than the sum of its proper divisors (106928172448960).

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

72342177224000 is a wasteful number, since it uses less digits than its factorization.

72342177224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5801953 (or 5801933 counting only the distinct ones).

The product of its (nonzero) digits is 263424, while the sum is 41.

The spelling of 72342177224000 in words is "seventy-two trillion, three hundred forty-two billion, one hundred seventy-seven million, two hundred twenty-four thousand".