72647627547125 has 16 divisors (see below), whose sum is σ = 90749051543280. Its totient is φ = 58063735137600.

The previous prime is 72647627547113. The next prime is 72647627547133. The reversal of 72647627547125 is 52174572674627.

It can be written as a sum of positive squares in 8 ways, for example, as 9386570190001 + 63261057357124 = 3063751^2 + 7953682^2 .

It is a de Polignac number, because none of the positive numbers 2^k-72647627547125 is a prime.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 271700342 + ... + 271967591.

It is an arithmetic number, because the mean of its divisors is an integer number (5671815721455).

Almost surely, 2^{72647627547125} is an apocalyptic number.

It is an amenable number.

72647627547125 is a deficient number, since it is larger than the sum of its proper divisors (18101423996155).

72647627547125 is a wasteful number, since it uses less digits than its factorization.

72647627547125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543669017 (or 543669007 counting only the distinct ones).

The product of its digits is 276595200, while the sum is 65.

The spelling of 72647627547125 in words is "seventy-two trillion, six hundred forty-seven billion, six hundred twenty-seven million, five hundred forty-seven thousand, one hundred twenty-five".