72329326762225 has 27 divisors (see below), whose sum is σ = 97118912851779. Its totient is φ = 53412017692800.

The previous prime is 72329326762223. The next prime is 72329326762237. The reversal of 72329326762225 is 52226762392327.

The square root of 72329326762225 is 8504665.

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

It can be written as a sum of positive squares in 13 ways, for example, as 64610842619569 + 7718484142656 = 8038087^2 + 2778216^2 .

It is not a de Polignac number, because 72329326762225 - 2¹ = 72329326762223 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 72329326762225.

It is not an unprimeable number, because it can be changed into a prime (72329326762223) 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, 552737805 + ... + 552868645.

Almost surely, 2^{72329326762225} is an apocalyptic number.

72329326762225 is the 8504665-th square number.

72329326762225 is the 4252333-rd centered octagonal number.

It is an amenable number.

72329326762225 is a deficient number, since it is larger than the sum of its proper divisors (24789586089554).

72329326762225 is an frugal number, since it uses more digits than its factorization.

72329326762225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261718 (or 130859 counting only the distinct ones).

The product of its digits is 45722880, while the sum is 58.

The spelling of 72329326762225 in words is "seventy-two trillion, three hundred twenty-nine billion, three hundred twenty-six million, seven hundred sixty-two thousand, two hundred twenty-five".