72164845440 has 768 divisors, whose sum is σ = 274959360000. Its totient is φ = 17371791360.

The previous prime is 72164845369. The next prime is 72164845447. The reversal of 72164845440 is 4454846127.

72164845440 is a `hidden beast` number, since 7 + 2 + 164 + 8 + 45 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72164845447) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 301944841 + ... + 301945079.

It is an arithmetic number, because the mean of its divisors is an integer number (358020000).

Almost surely, 2^72164845440 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 72164845440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137479680000).

72164845440 is an abundant number, since it is smaller than the sum of its proper divisors (202794514560).

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

72164845440 is a wasteful number, since it uses less digits than its factorization.

72164845440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The spelling of 72164845440 in words is "seventy-two billion, one hundred sixty-four million, eight hundred forty-five thousand, four hundred forty".