90072585 has 24 divisors (see below), whose sum is σ = 156441480. Its totient is φ = 47941632.

The previous prime is 90072569. The next prime is 90072611. The reversal of 90072585 is 58527009.

90072585 is a `hidden beast` number, since 9 + 0 + 0 + 72 + 585 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11431161 + 78641424 = 3381^2 + 8868^2 .

It is not a de Polignac number, because 90072585 - 2⁴ = 90072569 is a prime.

It is a super-2 number, since 2×90072585² = 16226141137164450, which contains 22 as substring.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 24231 + ... + 27699.

It is an arithmetic number, because the mean of its divisors is an integer number (6518395).

Almost surely, 2^90072585 is an apocalyptic number.

It is an amenable number.

90072585 is a deficient number, since it is larger than the sum of its proper divisors (66368895).

90072585 is a wasteful number, since it uses less digits than its factorization.

90072585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4057 (or 4054 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 90072585 is about 9490.6577748858. The cubic root of 90072585 is about 448.2609173801.

The spelling of 90072585 in words is "ninety million, seventy-two thousand, five hundred eighty-five".