72164890896168 has 384 divisors, whose sum is σ = 218057011200000. Its totient is φ = 19823026890240.

The previous prime is 72164890896167. The next prime is 72164890896187. The reversal of 72164890896168 is 86169809846127.

It is a super-3 number, since 3×72164890896168³ (a number of 43 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 72164890896168.

It is not an unprimeable number, because it can be changed into a prime (72164890896167) 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, 4056705418 + ... + 4056723206.

It is an arithmetic number, because the mean of its divisors is an integer number (567856800000).

Almost surely, 2^{72164890896168} 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 72164890896168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109028505600000).

72164890896168 is an abundant number, since it is smaller than the sum of its proper divisors (145892120303832).

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

72164890896168 is a wasteful number, since it uses less digits than its factorization.

72164890896168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18565 (or 18554 counting only the distinct ones).

The product of its (nonzero) digits is 501645312, while the sum is 75.

The spelling of 72164890896168 in words is "seventy-two trillion, one hundred sixty-four billion, eight hundred ninety million, eight hundred ninety-six thousand, one hundred sixty-eight".