10735712 has 48 divisors (see below), whose sum is σ = 23051952. Its totient is φ = 4892160.

The previous prime is 10735709. The next prime is 10735717. The reversal of 10735712 is 21753701.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10735717) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54398 + ... + 54594.

It is an arithmetic number, because the mean of its divisors is an integer number (480249).

Almost surely, 2^10735712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10735712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11525976).

10735712 is an abundant number, since it is smaller than the sum of its proper divisors (12316240).

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

10735712 is a wasteful number, since it uses less digits than its factorization.

10735712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 26.

The square root of 10735712 is about 3276.5396380938. The cubic root of 10735712 is about 220.6024260061.

The spelling of 10735712 in words is "ten million, seven hundred thirty-five thousand, seven hundred twelve".