10589072 has 20 divisors (see below), whose sum is σ = 22094940. Its totient is φ = 4887168.

The previous prime is 10589071. The next prime is 10589077. The reversal of 10589072 is 27098501.

It can be written as a sum of positive squares in 2 ways, for example, as 2202256 + 8386816 = 1484^2 + 2896^2 .

It is a super-2 number, since 2×10589072² = 224256891642368, which contains 22 as substring.

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 (10589071) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 25247 + ... + 25662.

It is an arithmetic number, because the mean of its divisors is an integer number (1104747).

Almost surely, 2^10589072 is an apocalyptic number.

It is an amenable number.

10589072 is an abundant number, since it is smaller than the sum of its proper divisors (11505868).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10589072 is a wasteful number, since it uses less digits than its factorization.

10589072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50930 (or 50924 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 32.

The square root of 10589072 is about 3254.0854321914. The cubic root of 10589072 is about 219.5934088044.

The spelling of 10589072 in words is "ten million, five hundred eighty-nine thousand, seventy-two".