72164611611140 has 96 divisors (see below), whose sum is σ = 158518087693056. Its totient is φ = 27543869337600.

The previous prime is 72164611611139. The next prime is 72164611611143. The reversal of 72164611611140 is 4111611646127.

It is not an unprimeable number, because it can be changed into a prime (72164611611143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2454480440 + ... + 2454509840.

It is an arithmetic number, because the mean of its divisors is an integer number (1651230080136).

Almost surely, 2^{72164611611140} 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 72164611611140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79259043846528).

72164611611140 is an abundant number, since it is smaller than the sum of its proper divisors (86353476081916).

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

72164611611140 is a wasteful number, since it uses less digits than its factorization.

72164611611140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42189 (or 42187 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 41.

The spelling of 72164611611140 in words is "seventy-two trillion, one hundred sixty-four billion, six hundred eleven million, six hundred eleven thousand, one hundred forty".