72464871249 has 27 divisors (see below), whose sum is σ = 106487928027. Its totient is φ = 47485645200.

The previous prime is 72464871247. The next prime is 72464871289. The reversal of 72464871249 is 94217846427.

The square root of 72464871249 is 269193.

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

72464871249 is a `hidden beast` number, since 72 + 46 + 487 + 12 + 49 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2356422849 + 70108448400 = 48543^2 + 264780^2 .

It is not a de Polignac number, because 72464871249 - 2¹ = 72464871247 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 72464871195 and 72464871204.

It is not an unprimeable number, because it can be changed into a prime (72464871247) 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, 49261584 + ... + 49263054.

Almost surely, 2^72464871249 is an apocalyptic number.

72464871249 is the 269193-rd square number.

72464871249 is the 134597-th centered octagonal number.

It is an amenable number.

72464871249 is a deficient number, since it is larger than the sum of its proper divisors (34023056778).

72464871249 is an frugal number, since it uses more digits than its factorization.

72464871249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3070 (or 1535 counting only the distinct ones).

The product of its digits is 5419008, while the sum is 54.

The spelling of 72464871249 in words is "seventy-two billion, four hundred sixty-four million, eight hundred seventy-one thousand, two hundred forty-nine".