10735872 has 72 divisors (see below), whose sum is σ = 32671296. Its totient is φ = 3065856.

The previous prime is 10735867. The next prime is 10735903. The reversal of 10735872 is 27853701.

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, 4378 + ... + 6374.

It is an arithmetic number, because the mean of its divisors is an integer number (453768).

Almost surely, 2^10735872 is an apocalyptic number.

10735872 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 10735872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16335648).

10735872 is an abundant number, since it is smaller than the sum of its proper divisors (21935424).

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

10735872 is an equidigital number, since it uses as much as digits as its factorization.

10735872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2023 (or 2009 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 33.

The square root of 10735872 is about 3276.5640540054. The cubic root of 10735872 is about 220.6035219189.

The spelling of 10735872 in words is "ten million, seven hundred thirty-five thousand, eight hundred seventy-two".