72030827681 has 2 divisors, whose sum is σ = 72030827682. Its totient is φ = 72030827680.

The previous prime is 72030827669. The next prime is 72030827683. The reversal of 72030827681 is 18672803027.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 70487595025 + 1543232656 = 265495^2 + 39284^2 .

It is a cyclic number.

It is not a de Polignac number, because 72030827681 - 2¹⁴ = 72030811297 is a prime.

It is a super-2 number, since 2×72030827681² (a number of 23 digits) contains 22 as substring.

Together with 72030827683, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (72030827683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36015413840 + 36015413841.

It is an arithmetic number, because the mean of its divisors is an integer number (36015413841).

Almost surely, 2^72030827681 is an apocalyptic number.

It is an amenable number.

72030827681 is a deficient number, since it is larger than the sum of its proper divisors (1).

72030827681 is an equidigital number, since it uses as much as digits as its factorization.

72030827681 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 225792, while the sum is 44.

The spelling of 72030827681 in words is "seventy-two billion, thirty million, eight hundred twenty-seven thousand, six hundred eighty-one".