10587072 has 56 divisors (see below), whose sum is σ = 28464256. Its totient is φ = 3472128.

The previous prime is 10587067. The next prime is 10587091. The reversal of 10587072 is 27078501.

It is a happy number.

It is a super-2 number, since 2×10587072² = 224172187066368, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12453 + ... + 13275.

Almost surely, 2^10587072 is an apocalyptic number.

10587072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10587072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14232128).

10587072 is an abundant number, since it is smaller than the sum of its proper divisors (17877184).

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

10587072 is an equidigital number, since it uses as much as digits as its factorization.

10587072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 905 (or 895 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 30.

The square root of 10587072 is about 3253.7781116726. The cubic root of 10587072 is about 219.5795827747.

The spelling of 10587072 in words is "ten million, five hundred eighty-seven thousand, seventy-two".