73188025 has 27 divisors (see below), whose sum is σ = 95610541. Its totient is φ = 55573280.

The previous prime is 73188023. The next prime is 73188029. The reversal of 73188025 is 52088137.

The square root of 73188025 is 8555.

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 1006009 + 72182016 = 1003^2 + 8496^2 .

It is not a de Polignac number, because 73188025 - 2¹ = 73188023 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (73188023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1240446 + ... + 1240504.

Almost surely, 2^73188025 is an apocalyptic number.

73188025 is the 8555-th square number.

73188025 is the 4278-th centered octagonal number.

It is an amenable number.

73188025 is a deficient number, since it is larger than the sum of its proper divisors (22422516).

73188025 is an equidigital number, since it uses as much as digits as its factorization.

73188025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 34.

The cubic root of 73188025 is about 418.2924340404.

The spelling of 73188025 in words is "seventy-three million, one hundred eighty-eight thousand, twenty-five".