72019800160 has 648 divisors, whose sum is σ = 227644693920. Its totient is φ = 21448627200.

The previous prime is 72019800133. The next prime is 72019800163. The reversal of 72019800160 is 6100891027.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72019800163) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 911643001 + ... + 911643079.

It is an arithmetic number, because the mean of its divisors is an integer number (351303540).

Almost surely, 2^72019800160 is an apocalyptic number.

72019800160 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72019800160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113822346960).

72019800160 is an abundant number, since it is smaller than the sum of its proper divisors (155624893760).

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

72019800160 is a wasteful number, since it uses less digits than its factorization.

72019800160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 34.

The spelling of 72019800160 in words is "seventy-two billion, nineteen million, eight hundred thousand, one hundred sixty".