72989993349120 has 208 divisors, whose sum is σ = 234972256707072. Its totient is φ = 19344584540160.

The previous prime is 72989993349109. The next prime is 72989993349127. The reversal of 72989993349120 is 2194339998927.

72989993349120 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (72989993349127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6370585 + ... + 13658855.

Almost surely, 2^{72989993349120} 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 72989993349120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117486128353536).

72989993349120 is an abundant number, since it is smaller than the sum of its proper divisors (161982263357952).

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

72989993349120 is a wasteful number, since it uses less digits than its factorization.

72989993349120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7288466 (or 7288444 counting only the distinct ones).

The product of its (nonzero) digits is 476171136, while the sum is 75.

The spelling of 72989993349120 in words is "seventy-two trillion, nine hundred eighty-nine billion, nine hundred ninety-three million, three hundred forty-nine thousand, one hundred twenty".