72166801168800 has 864 divisors, whose sum is σ = 281240351840448. Its totient is φ = 17300678492160.

The previous prime is 72166801168783. The next prime is 72166801168907. The reversal of 72166801168800 is 886110866127.

It is a happy number.

It is a super-2 number, since 2×72166801168800² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1396579764 + ... + 1396631436.

It is an arithmetic number, because the mean of its divisors is an integer number (325509666482).

Almost surely, 2^{72166801168800} 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 72166801168800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140620175920224).

72166801168800 is an abundant number, since it is smaller than the sum of its proper divisors (209073550671648).

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

72166801168800 is a wasteful number, since it uses less digits than its factorization.

72166801168800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52102 (or 52086 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

The spelling of 72166801168800 in words is "seventy-two trillion, one hundred sixty-six billion, eight hundred one million, one hundred sixty-eight thousand, eight hundred".