72332048280625 has 135 divisors (see below), whose sum is σ = 109965283472583. Its totient is φ = 47420182656000.

The previous prime is 72332048280559. The next prime is 72332048280641. The reversal of 72332048280625 is 52608284023327.

The square root of 72332048280625 is 8504825.

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

It can be written as a sum of positive squares in 7 ways, for example, as 67799134764529 + 4532913516096 = 8234023^2 + 2129064^2 .

It is not a de Polignac number, because 72332048280625 - 2⁹ = 72332048280113 is a prime.

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 134 ways as a sum of consecutive naturals, for example, 34231919569 + ... + 34231921681.

Almost surely, 2^{72332048280625} is an apocalyptic number.

72332048280625 is the 8504825-th square number.

72332048280625 is the 4252413-rd centered octagonal number.

It is an amenable number.

72332048280625 is a deficient number, since it is larger than the sum of its proper divisors (37633235191958).

72332048280625 is an frugal number, since it uses more digits than its factorization.

72332048280625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4306 (or 2148 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 52.

The spelling of 72332048280625 in words is "seventy-two trillion, three hundred thirty-two billion, forty-eight million, two hundred eighty thousand, six hundred twenty-five".