30072762225 has 81 divisors (see below), whose sum is σ = 59261895147. Its totient is φ = 14566860000.

The previous prime is 30072762211. The next prime is 30072762227. The reversal of 30072762225 is 52226727003.

The square root of 30072762225 is 173415.

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

30072762225 is a `hidden beast` number, since 3 + 0 + 0 + 7 + 2 + 7 + 622 + 25 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10826194401 + 19246567824 = 104049^2 + 138732^2 .

It is not a de Polignac number, because 30072762225 - 2¹¹ = 30072760177 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 30072762225.

It is not an unprimeable number, because it can be changed into a prime (30072762227) 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 80 ways as a sum of consecutive naturals, for example, 28612950 + ... + 28614000.

Almost surely, 2^30072762225 is an apocalyptic number.

30072762225 is the 173415-th square number.

30072762225 is the 86708-th centered octagonal number.

It is an amenable number.

30072762225 is a deficient number, since it is larger than the sum of its proper divisors (29189132922).

30072762225 is a wasteful number, since it uses less digits than its factorization.

30072762225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2140 (or 1070 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

Multiplying 30072762225 by its sum of digits (36), we get a square (1082619440100 = 1040490²).

It can be divided in two parts, 30072 and 762225, that added together give a palindrome (792297).

The spelling of 30072762225 in words is "thirty billion, seventy-two million, seven hundred sixty-two thousand, two hundred twenty-five".