73026955225 has 45 divisors (see below), whose sum is σ = 105735237503. Its totient is φ = 50030226960.

The previous prime is 73026955217. The next prime is 73026955237. The reversal of 73026955225 is 52255962037.

It is a happy number.

The square root of 73026955225 is 270235.

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., 26289703881 + 46737251344 = 162141^2 + 216188^2 .

It is not a de Polignac number, because 73026955225 - 2³ = 73026955217 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 44 ways as a sum of consecutive naturals, for example, 66207024 + ... + 66208126.

Almost surely, 2^73026955225 is an apocalyptic number.

73026955225 is the 270235-th square number.

73026955225 is the 135118-th centered octagonal number.

It is an amenable number.

73026955225 is a deficient number, since it is larger than the sum of its proper divisors (32708282278).

73026955225 is an frugal number, since it uses more digits than its factorization.

73026955225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2244 (or 1115 counting only the distinct ones).

The product of its (nonzero) digits is 1134000, while the sum is 46.

The spelling of 73026955225 in words is "seventy-three billion, twenty-six million, nine hundred fifty-five thousand, two hundred twenty-five".