72444952336 has 15 divisors (see below), whose sum is σ = 140364181141. Its totient is φ = 36221937856.

The previous prime is 72444952301. The next prime is 72444952339. The reversal of 72444952336 is 63325944427.

The square root of 72444952336 is 269156.

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., 5922225936 + 66522726400 = 76956^2 + 257920^2 .

It is a super-2 number, since 2×72444952336² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 72444952336.

It is not an unprimeable number, because it can be changed into a prime (72444952339) by changing a digit.

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 2 ways as a sum of consecutive naturals, for example, 1042980 + ... + 1110268.

Almost surely, 2^72444952336 is an apocalyptic number.

72444952336 is the 269156-th square number.

It is an amenable number.

72444952336 is a deficient number, since it is larger than the sum of its proper divisors (67919228805).

72444952336 is an frugal number, since it uses more digits than its factorization.

72444952336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134586 (or 67291 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 49.

Multiplying 72444952336 by its sum of digits (49), we get a square (3549802664464 = 1884092²).

The spelling of 72444952336 in words is "seventy-two billion, four hundred forty-four million, nine hundred fifty-two thousand, three hundred thirty-six".