72435305152321 has 2 divisors, whose sum is σ = 72435305152322. Its totient is φ = 72435305152320.

The previous prime is 72435305152283. The next prime is 72435305152337. The reversal of 72435305152321 is 12325150353427.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 55667058193296 + 16768246959025 = 7461036^2 + 4094905^2 .

It is an emirp because it is prime and its reverse (12325150353427) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 72435305152321 - 2⁷ = 72435305152193 is a prime.

It is a super-2 number, since 2×72435305152321² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (72435305152121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36217652576160 + 36217652576161.

It is an arithmetic number, because the mean of its divisors is an integer number (36217652576161).

Almost surely, 2^{72435305152321} is an apocalyptic number.

It is an amenable number.

72435305152321 is a deficient number, since it is larger than the sum of its proper divisors (1).

72435305152321 is an equidigital number, since it uses as much as digits as its factorization.

72435305152321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 756000, while the sum is 43.

The spelling of 72435305152321 in words is "seventy-two trillion, four hundred thirty-five billion, three hundred five million, one hundred fifty-two thousand, three hundred twenty-one".