7271629987216 has 135 divisors (see below), whose sum is σ = 16507430521281. Its totient is φ = 3094052677632.

The previous prime is 7271629987211. The next prime is 7271629987217. The reversal of 7271629987216 is 6127899261727.

The square root of 7271629987216 is 2696596.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1761831475600 + 5509798511616 = 1327340^2 + 2347296^2 .

It is a super-3 number, since 3×7271629987216³ (a number of 40 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (7271629987211) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 14572404535 + ... + 14572405033.

Almost surely, 2^{7271629987216} is an apocalyptic number.

7271629987216 is the 2696596-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7271629987216

7271629987216 is an abundant number, since it is smaller than the sum of its proper divisors (9235800534065).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

7271629987216 is an frugal number, since it uses more digits than its factorization.

7271629987216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1406 (or 701 counting only the distinct ones).

The product of its digits is 64012032, while the sum is 67.

The spelling of 7271629987216 in words is "seven trillion, two hundred seventy-one billion, six hundred twenty-nine million, nine hundred eighty-seven thousand, two hundred sixteen".