72383654027616 has 192 divisors, whose sum is σ = 199538563940352. Its totient is φ = 22946656320000.

The previous prime is 72383654027611. The next prime is 72383654027669. The reversal of 72383654027616 is 61672045638327.

It is a happy number.

72383654027616 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 72383654027616.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72383654027611) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65162301 + ... + 66263811.

It is an arithmetic number, because the mean of its divisors is an integer number (1039263353856).

Almost surely, 2^{72383654027616} 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 72383654027616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99769281970176).

72383654027616 is an abundant number, since it is smaller than the sum of its proper divisors (127154909912736).

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

72383654027616 is a wasteful number, since it uses less digits than its factorization.

72383654027616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1101937 (or 1101929 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 60.

The spelling of 72383654027616 in words is "seventy-two trillion, three hundred eighty-three billion, six hundred fifty-four million, twenty-seven thousand, six hundred sixteen".