72727862681 has 4 divisors (see below), whose sum is σ = 72729443892. Its totient is φ = 72726281472.

The previous prime is 72727862677. The next prime is 72727862717. The reversal of 72727862681 is 18626872727.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 18626872727 = 47 ⋅396316441.

It can be written as a sum of positive squares in 2 ways, for example, as 33262464400 + 39465398281 = 182380^2 + 198659^2 .

It is a cyclic number.

It is not a de Polignac number, because 72727862681 - 2² = 72727862677 is a prime.

It is a super-2 number, since 2×72727862681² (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 (72727862981) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 719480 + ... + 814313.

It is an arithmetic number, because the mean of its divisors is an integer number (18182360973).

Almost surely, 2^72727862681 is an apocalyptic number.

It is an amenable number.

72727862681 is a deficient number, since it is larger than the sum of its proper divisors (1581211).

72727862681 is a wasteful number, since it uses less digits than its factorization.

72727862681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1581210.

The product of its digits is 6322176, while the sum is 56.

The spelling of 72727862681 in words is "seventy-two billion, seven hundred twenty-seven million, eight hundred sixty-two thousand, six hundred eighty-one".