72314377775444 has 192 divisors, whose sum is σ = 158074785792000. Its totient is φ = 28277179660800.

The previous prime is 72314377775417. The next prime is 72314377775501. The reversal of 72314377775444 is 44457777341327.

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 63 ways as a sum of consecutive naturals, for example, 6343917257 + ... + 6343928655.

It is an arithmetic number, because the mean of its divisors is an integer number (823306176000).

Almost surely, 2^{72314377775444} 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 72314377775444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79037392896000).

72314377775444 is an abundant number, since it is smaller than the sum of its proper divisors (85760408016556).

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

72314377775444 is a wasteful number, since it uses less digits than its factorization.

72314377775444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17374 (or 17372 counting only the distinct ones).

The product of its digits is 387233280, while the sum is 65.

The spelling of 72314377775444 in words is "seventy-two trillion, three hundred fourteen billion, three hundred seventy-seven million, seven hundred seventy-five thousand, four hundred forty-four".