71652957547249 has 9 divisors (see below), whose sum is σ = 77588824668363. Its totient is φ = 66141090004392.

The previous prime is 71652957547231. The next prime is 71652957547307. The reversal of 71652957547249 is 94274575925617.

The square root of 71652957547249 is 8464807.

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., 10599549933025 + 61053407614224 = 3255695^2 + 7813668^2 .

It is a de Polignac number, because none of the positive numbers 2^k-71652957547249 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (71652957547219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 109716922 + ... + 110368060.

It is an arithmetic number, because the mean of its divisors is an integer number (8620980518707).

Almost surely, 2^{71652957547249} is an apocalyptic number.

71652957547249 is the 8464807-th square number.

71652957547249 is the 4232404-th centered octagonal number.

It is an amenable number.

71652957547249 is a deficient number, since it is larger than the sum of its proper divisors (5935867121114).

71652957547249 is an frugal number, since it uses more digits than its factorization.

71652957547249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1302304 (or 651152 counting only the distinct ones).

The product of its digits is 1333584000, while the sum is 73.

The spelling of 71652957547249 in words is "seventy-one trillion, six hundred fifty-two billion, nine hundred fifty-seven million, five hundred forty-seven thousand, two hundred forty-nine".