7332728272337 has 16 divisors (see below), whose sum is σ = 8046499477968. Its totient is φ = 6640367784960.

The previous prime is 7332728272313. The next prime is 7332728272351.

7332728272337 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 179478475201 + 7153249797136 = 423649^2 + 2674556^2 .

It is not a de Polignac number, because 7332728272337 - 2⁶ = 7332728272273 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7332728272237) 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 in 15 ways as a sum of consecutive naturals, for example, 7330133 + ... + 8270205.

It is an arithmetic number, because the mean of its divisors is an integer number (502906217373).

Almost surely, 2^{7332728272337} is an apocalyptic number.

It is an amenable number.

7332728272337 is a deficient number, since it is larger than the sum of its proper divisors (713771205631).

7332728272337 is a wasteful number, since it uses less digits than its factorization.

7332728272337 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 951460.

The product of its digits is 24893568, while the sum is 56.

The spelling of 7332728272337 in words is "seven trillion, three hundred thirty-two billion, seven hundred twenty-eight million, two hundred seventy-two thousand, three hundred thirty-seven".