72165025 has 9 divisors (see below), whose sum is σ = 89537331. Its totient is φ = 57698040.

The previous prime is 72165001. The next prime is 72165029. The reversal of 72165025 is 52056127.

The square root of 72165025 is 8495.

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., 25979409 + 46185616 = 5097^2 + 6796^2 .

It is not a de Polignac number, because 72165025 - 2⁹ = 72164513 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 72164984 and 72165002.

It is not an unprimeable number, because it can be changed into a prime (72165029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 41626 + ... + 43324.

Almost surely, 2^72165025 is an apocalyptic number.

72165025 is the 8495-th square number.

72165025 is the 4248-th centered octagonal number.

It is an amenable number.

72165025 is a deficient number, since it is larger than the sum of its proper divisors (17372306).

72165025 is an frugal number, since it uses more digits than its factorization.

72165025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3408 (or 1704 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 28.

The cubic root of 72165025 is about 416.3343608230.

The spelling of 72165025 in words is "seventy-two million, one hundred sixty-five thousand, twenty-five".