72073456225 has 9 divisors (see below), whose sum is σ = 89372750233. Its totient is φ = 57657691120.

The previous prime is 72073456201. The next prime is 72073456243. The reversal of 72073456225 is 52265437027.

The square root of 72073456225 is 268465.

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 14519527009 + 57553929216 = 120497^2 + 239904^2 .

It is not a de Polignac number, because 72073456225 - 2⁵ = 72073456193 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1315479 + ... + 1369171.

Almost surely, 2^72073456225 is an apocalyptic number.

72073456225 is the 268465-th square number.

72073456225 is the 134233-rd centered octagonal number.

It is an amenable number.

72073456225 is a deficient number, since it is larger than the sum of its proper divisors (17299294008).

72073456225 is an frugal number, since it uses more digits than its factorization.

72073456225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107396 (or 53698 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 43.

The spelling of 72073456225 in words is "seventy-two billion, seventy-three million, four hundred fifty-six thousand, two hundred twenty-five".