72128216160 has 864 divisors, whose sum is σ = 333055195200. Its totient is φ = 13831741440.

The previous prime is 72128216141. The next prime is 72128216189. The reversal of 72128216160 is 6161282127.

72128216160 is a `hidden beast` number, since 7 + 2 + 12 + 8 + 21 + 616 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 15853566 + ... + 15858114.

It is an arithmetic number, because the mean of its divisors is an integer number (385480550).

Almost surely, 2^72128216160 is an apocalyptic number.

72128216160 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 72128216160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166527597600).

72128216160 is an abundant number, since it is smaller than the sum of its proper divisors (260926979040).

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

72128216160 is a wasteful number, since it uses less digits than its factorization.

72128216160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4612 (or 4590 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

Adding to 72128216160 its reverse (6161282127), we get a palindrome (78289498287).

The spelling of 72128216160 in words is "seventy-two billion, one hundred twenty-eight million, two hundred sixteen thousand, one hundred sixty".