72553615301281 has 9 divisors (see below), whose sum is σ = 72603402145369. Its totient is φ = 72503862592000.

The previous prime is 72553615301267. The next prime is 72553615301327. The reversal of 72553615301281 is 18210351635527.

The square root of 72553615301281 is 8517841.

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

It can be written as a sum of positive squares in 4 ways, for example, as 26611246814881 + 45942368486400 = 5158609^2 + 6778080^2 .

It is not a de Polignac number, because 72553615301281 - 2⁹ = 72553615300769 is a prime.

It is a super-2 number, since 2×72553615301281² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72553615301261) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 23858471121 + ... + 23858474161.

Almost surely, 2^{72553615301281} is an apocalyptic number.

72553615301281 is the 8517841-st square number.

72553615301281 is the 4258921-st centered octagonal number.

It is an amenable number.

72553615301281 is a deficient number, since it is larger than the sum of its proper divisors (49786844088).

72553615301281 is an frugal number, since it uses more digits than its factorization.

72553615301281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11684 (or 5842 counting only the distinct ones).

The product of its (nonzero) digits is 1512000, while the sum is 49.

The spelling of 72553615301281 in words is "seventy-two trillion, five hundred fifty-three billion, six hundred fifteen million, three hundred one thousand, two hundred eighty-one".