72105615363272 has 32 divisors (see below), whose sum is σ = 140067845897400. Its totient is φ = 34757884299264.

The previous prime is 72105615363269. The next prime is 72105615363281. The reversal of 72105615363272 is 27236351650127.

It can be written as a sum of positive squares in 4 ways, for example, as 71071745324836 + 1033870038436 = 8430406^2 + 1016794^2 .

It is a super-2 number, since 2×72105615363272² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 72105615363272.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 230750303 + ... + 231062574.

Almost surely, 2^{72105615363272} is an apocalyptic number.

It is an amenable number.

72105615363272 is a deficient number, since it is larger than the sum of its proper divisors (67962230534128).

72105615363272 is a wasteful number, since it uses less digits than its factorization.

72105615363272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461813585 (or 461813581 counting only the distinct ones).

The product of its (nonzero) digits is 3175200, while the sum is 50.

The spelling of 72105615363272 in words is "seventy-two trillion, one hundred five billion, six hundred fifteen million, three hundred sixty-three thousand, two hundred seventy-two".