7272522126657 has 12 divisors (see below), whose sum is σ = 10504789130004. Its totient is φ = 4848331955040.

The previous prime is 7272522126503. The next prime is 7272522126703. The reversal of 7272522126657 is 7566212252727.

7272522126657 is a `hidden beast` number, since 7 + 2 + 7 + 2 + 522 + 1 + 2 + 66 + 57 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 214143115536 + 7058379011121 = 462756^2 + 2656761^2 .

It is not a de Polignac number, because 7272522126657 - 2¹⁶ = 7272522061121 is a prime.

It is not an unprimeable number, because it can be changed into a prime (7272522126157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1931683 + ... + 4275095.

It is an arithmetic number, because the mean of its divisors is an integer number (875399094167).

Almost surely, 2^{7272522126657} is an apocalyptic number.

It is an amenable number.

7272522126657 is a deficient number, since it is larger than the sum of its proper divisors (3232267003347).

7272522126657 is a wasteful number, since it uses less digits than its factorization.

7272522126657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2688240 (or 2688237 counting only the distinct ones).

The product of its digits is 9878400, while the sum is 54.

The spelling of 7272522126657 in words is "seven trillion, two hundred seventy-two billion, five hundred twenty-two million, one hundred twenty-six thousand, six hundred fifty-seven".