72433648225 has 27 divisors (see below), whose sum is σ = 94827247353. Its totient is φ = 54877703040.

The previous prime is 72433648223. The next prime is 72433648279. The reversal of 72433648225 is 52284633427.

It is a happy number.

The square root of 72433648225 is 269135.

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

It can be written as a sum of positive squares in 4 ways, for example, as 4439956689 + 67993691536 = 66633^2 + 260756^2 .

It is not a de Polignac number, because 72433648225 - 2¹ = 72433648223 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72433648223) 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, 25566409 + ... + 25569241.

Almost surely, 2^72433648225 is an apocalyptic number.

72433648225 is the 269135-th square number.

72433648225 is the 134568-th centered octagonal number.

It is an amenable number.

72433648225 is a deficient number, since it is larger than the sum of its proper divisors (22393599128).

72433648225 is an frugal number, since it uses more digits than its factorization.

72433648225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5714 (or 2857 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 46.

The spelling of 72433648225 in words is "seventy-two billion, four hundred thirty-three million, six hundred forty-eight thousand, two hundred twenty-five".