72680183761 has 2 divisors, whose sum is σ = 72680183762. Its totient is φ = 72680183760.

The previous prime is 72680183731. The next prime is 72680183777. The reversal of 72680183761 is 16738108627.

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., 50650203136 + 22029980625 = 225056^2 + 148425^2 .

It is a cyclic number.

It is not a de Polignac number, because 72680183761 - 2¹¹ = 72680181713 is a prime.

It is a super-2 number, since 2×72680183761² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (72680183711) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36340091880 + 36340091881.

It is an arithmetic number, because the mean of its divisors is an integer number (36340091881).

Almost surely, 2^72680183761 is an apocalyptic number.

It is an amenable number.

72680183761 is a deficient number, since it is larger than the sum of its proper divisors (1).

72680183761 is an equidigital number, since it uses as much as digits as its factorization.

72680183761 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 677376, while the sum is 49.

The spelling of 72680183761 in words is "seventy-two billion, six hundred eighty million, one hundred eighty-three thousand, seven hundred sixty-one".