72820160081 has 8 divisors (see below), whose sum is σ = 72909173064. Its totient is φ = 72731197440.

The previous prime is 72820160071. The next prime is 72820160129. The reversal of 72820160081 is 18006102827.

It can be written as a sum of positive squares in 4 ways, for example, as 9809119681 + 63011040400 = 99041^2 + 251020^2 .

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 72820160081 - 2¹⁰ = 72820159057 is a prime.

It is a super-2 number, since 2×72820160081² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72820160071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3437201 + ... + 3458321.

It is an arithmetic number, because the mean of its divisors is an integer number (9113646633).

Almost surely, 2^72820160081 is an apocalyptic number.

It is an amenable number.

72820160081 is a deficient number, since it is larger than the sum of its proper divisors (89012983).

72820160081 is a wasteful number, since it uses less digits than its factorization.

72820160081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25171.

The product of its (nonzero) digits is 10752, while the sum is 35.

The spelling of 72820160081 in words is "seventy-two billion, eight hundred twenty million, one hundred sixty thousand, eighty-one".