72989849924160 has 896 divisors, whose sum is σ = 264601083801600. Its totient is φ = 16898559344640.

The previous prime is 72989849924093. The next prime is 72989849924171. The reversal of 72989849924160 is 6142994898927.

It is a Harshad number since it is a multiple of its sum of digits (78).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 36008805067 + ... + 36008807093.

It is an arithmetic number, because the mean of its divisors is an integer number (295313709600).

Almost surely, 2^{72989849924160} 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 72989849924160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132300541900800).

72989849924160 is an abundant number, since it is smaller than the sum of its proper divisors (191611233877440).

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

72989849924160 is a wasteful number, since it uses less digits than its factorization.

72989849924160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3099 (or 3089 counting only the distinct ones).

The product of its (nonzero) digits is 1128701952, while the sum is 78.

The spelling of 72989849924160 in words is "seventy-two trillion, nine hundred eighty-nine billion, eight hundred forty-nine million, nine hundred twenty-four thousand, one hundred sixty".