72407339993 has 2 divisors, whose sum is σ = 72407339994. Its totient is φ = 72407339992.

The previous prime is 72407339987. The next prime is 72407339999. The reversal of 72407339993 is 39993370427.

It is a balanced prime because it is at equal distance from previous prime (72407339987) and next prime (72407339999).

It can be written as a sum of positive squares in only one way, i.e., 61349345344 + 11057994649 = 247688^2 + 105157^2 .

It is a cyclic number.

It is not a de Polignac number, because 72407339993 - 2¹⁴ = 72407323609 is a prime.

It is not a weakly prime, because it can be changed into another prime (72407339999) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36203669996 + 36203669997.

It is an arithmetic number, because the mean of its divisors is an integer number (36203669997).

Almost surely, 2^72407339993 is an apocalyptic number.

It is an amenable number.

72407339993 is a deficient number, since it is larger than the sum of its proper divisors (1).

72407339993 is an equidigital number, since it uses as much as digits as its factorization.

72407339993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7715736, while the sum is 56.

The spelling of 72407339993 in words is "seventy-two billion, four hundred seven million, three hundred thirty-nine thousand, nine hundred ninety-three".