72166801168799 has 8 divisors (see below), whose sum is σ = 74723739919920. Its totient is φ = 69614424308800.

The previous prime is 72166801168783. The next prime is 72166801168907. The reversal of 72166801168799 is 99786110866127.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 72166801168799 - 2⁴ = 72166801168783 is a prime.

It is a super-2 number, since 2×72166801168799² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72166801168739) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1140440582 + ... + 1140503859.

It is an arithmetic number, because the mean of its divisors is an integer number (9340467489990).

Almost surely, 2^{72166801168799} is an apocalyptic number.

72166801168799 is a deficient number, since it is larger than the sum of its proper divisors (2556938751121).

72166801168799 is a wasteful number, since it uses less digits than its factorization.

72166801168799 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2280945561.

The product of its (nonzero) digits is 109734912, while the sum is 71.

The spelling of 72166801168799 in words is "seventy-two trillion, one hundred sixty-six billion, eight hundred one million, one hundred sixty-eight thousand, seven hundred ninety-nine".