10727712 has 54 divisors (see below), whose sum is σ = 30665817. Its totient is φ = 3557376.

The previous prime is 10727711. The next prime is 10727719. The reversal of 10727712 is 21772701.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 9960336 + 767376 = 3156^2 + 876^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=2316.

It is not an unprimeable number, because it can be changed into a prime (10727711) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 55488 + ... + 55680.

Almost surely, 2^10727712 is an apocalyptic number.

10727712 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 10727712

10727712 is an abundant number, since it is smaller than the sum of its proper divisors (19938105).

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

10727712 is an equidigital number, since it uses as much as digits as its factorization.

10727712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 1372, while the sum is 27.

The square root of 10727712 is about 3275.3186104561. The cubic root of 10727712 is about 220.5476164770.

The spelling of 10727712 in words is "ten million, seven hundred twenty-seven thousand, seven hundred twelve".