72771637168001 has 8 divisors (see below), whose sum is σ = 73439679836160. Its totient is φ = 72103602008592.

The previous prime is 72771637167959. The next prime is 72771637168007. The reversal of 72771637168001 is 10086173617727.

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 72771637168001 - 2³⁸ = 72496759261057 is a prime.

It is a super-2 number, since 2×72771637168001² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72771637168007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18617216 + ... + 22184318.

It is an arithmetic number, because the mean of its divisors is an integer number (9179959979520).

Almost surely, 2^{72771637168001} is an apocalyptic number.

It is an amenable number.

72771637168001 is a deficient number, since it is larger than the sum of its proper divisors (668042668159).

72771637168001 is a wasteful number, since it uses less digits than its factorization.

72771637168001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3754375.

The product of its (nonzero) digits is 4148928, while the sum is 56.

The spelling of 72771637168001 in words is "seventy-two trillion, seven hundred seventy-one billion, six hundred thirty-seven million, one hundred sixty-eight thousand, one".