72846225 has 27 divisors (see below), whose sum is σ = 130705393. Its totient is φ = 38783040.

The previous prime is 72846223. The next prime is 72846227. The reversal of 72846225 is 52264827.

The square root of 72846225 is 8535.

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

72846225 is a `hidden beast` number, since 7 + 28 + 4 + 622 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (72846223) and next prime (72846227).

It can be written as a sum of positive squares in 4 ways, for example, as 17313921 + 55532304 = 4161^2 + 7452^2 .

It is not a de Polignac number, because 72846225 - 2¹ = 72846223 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 72846225.

It is not an unprimeable number, because it can be changed into a prime (72846223) 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, 127741 + ... + 128309.

Almost surely, 2^72846225 is an apocalyptic number.

72846225 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

72846225 is the 8535-th square number.

72846225 is the 4268-th centered octagonal number.

It is an amenable number.

72846225 is a deficient number, since it is larger than the sum of its proper divisors (57859168).

72846225 is an equidigital number, since it uses as much as digits as its factorization.

72846225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1154 (or 577 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The cubic root of 72846225 is about 417.6402531166.

Multiplying 72846225 by its sum of digits (36), we get a square (2622464100 = 51210²).

The spelling of 72846225 in words is "seventy-two million, eight hundred forty-six thousand, two hundred twenty-five".