72807672829 has 2 divisors, whose sum is σ = 72807672830. Its totient is φ = 72807672828.

The previous prime is 72807672767. The next prime is 72807672841. The reversal of 72807672829 is 92827670827.

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., 69681744729 + 3125928100 = 263973^2 + 55910^2 .

It is a cyclic number.

It is not a de Polignac number, because 72807672829 - 2³³ = 64217738237 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72807072829) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36403836414 + 36403836415.

It is an arithmetic number, because the mean of its divisors is an integer number (36403836415).

Almost surely, 2^72807672829 is an apocalyptic number.

It is an amenable number.

72807672829 is a deficient number, since it is larger than the sum of its proper divisors (1).

72807672829 is an equidigital number, since it uses as much as digits as its factorization.

72807672829 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9483264, while the sum is 58.

The spelling of 72807672829 in words is "seventy-two billion, eight hundred seven million, six hundred seventy-two thousand, eight hundred twenty-nine".