72392274973225 has 27 divisors (see below), whose sum is σ = 90485561866167. Its totient is φ = 57453517432080.

The previous prime is 72392274973159. The next prime is 72392274973261. The reversal of 72392274973225 is 52237947229327.

The square root of 72392274973225 is 8508365.

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., 26061218990361 + 46331055982864 = 5105019^2 + 6806692^2 .

It is not a de Polignac number, because 72392274973225 - 2⁷ = 72392274973097 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5402805076 + ... + 5402818474.

Almost surely, 2^{72392274973225} is an apocalyptic number.

72392274973225 is the 8508365-th square number.

72392274973225 is the 4254183-rd centered octagonal number.

It is an amenable number.

72392274973225 is a deficient number, since it is larger than the sum of its proper divisors (18093286892942).

72392274973225 is an frugal number, since it uses more digits than its factorization.

72392274973225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27062 (or 13531 counting only the distinct ones).

The product of its digits is 160030080, while the sum is 64.

The spelling of 72392274973225 in words is "seventy-two trillion, three hundred ninety-two billion, two hundred seventy-four million, nine hundred seventy-three thousand, two hundred twenty-five".