72076677841 has 15 divisors (see below), whose sum is σ = 84099803721. Its totient is φ = 61768733796.

The previous prime is 72076677833. The next prime is 72076677851. The reversal of 72076677841 is 14877667027.

The square root of 72076677841 is 268471.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 72076677841 - 2³ = 72076677833 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72076677811) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 13152340 + ... + 13157818.

Almost surely, 2^72076677841 is an apocalyptic number.

72076677841 is the 268471-st square number.

72076677841 is the 134236-th centered octagonal number.

It is an amenable number.

72076677841 is a deficient number, since it is larger than the sum of its proper divisors (12023125880).

72076677841 is an frugal number, since it uses more digits than its factorization.

72076677841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10986 (or 5486 counting only the distinct ones).

The product of its (nonzero) digits is 5531904, while the sum is 55.

The spelling of 72076677841 in words is "seventy-two billion, seventy-six million, six hundred seventy-seven thousand, eight hundred forty-one".