8072007333437 has 2 divisors, whose sum is σ = 8072007333438. Its totient is φ = 8072007333436.

The previous prime is 8072007333373. The next prime is 8072007333457. The reversal of 8072007333437 is 7343337002708.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 4953201885241 + 3118805448196 = 2225579^2 + 1766014^2 .

It is a cyclic number.

It is not a de Polignac number, because 8072007333437 - 2⁶ = 8072007333373 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 8072007333391 and 8072007333400.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (8072007333457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4036003666718 + 4036003666719.

It is an arithmetic number, because the mean of its divisors is an integer number (4036003666719).

Almost surely, 2^{8072007333437} is an apocalyptic number.

It is an amenable number.

8072007333437 is a deficient number, since it is larger than the sum of its proper divisors (1).

8072007333437 is an equidigital number, since it uses as much as digits as its factorization.

8072007333437 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1778112, while the sum is 47.

The spelling of 8072007333437 in words is "eight trillion, seventy-two billion, seven million, three hundred thirty-three thousand, four hundred thirty-seven".