7272585 has 20 divisors (see below), whose sum is σ = 13037508. Its totient is φ = 3878496.

The previous prime is 7272581. The next prime is 7272593. The reversal of 7272585 is 5852727.

7272585 is a `hidden beast` number, since 7 + 2 + 72 + 585 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5774409 + 1498176 = 2403^2 + 1224^2 .

It is not a de Polignac number, because 7272585 - 2² = 7272581 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (7272581) 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 19 ways as a sum of consecutive naturals, for example, 8574 + ... + 9383.

Almost surely, 2^7272585 is an apocalyptic number.

It is an amenable number.

7272585 is a deficient number, since it is larger than the sum of its proper divisors (5764923).

7272585 is a wasteful number, since it uses less digits than its factorization.

7272585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17974 (or 17965 counting only the distinct ones).

The product of its digits is 39200, while the sum is 36.

The square root of 7272585 is about 2696.7730716543. The cubic root of 7272585 is about 193.7445978376.

The spelling of 7272585 in words is "seven million, two hundred seventy-two thousand, five hundred eighty-five".