10726752 has 48 divisors (see below), whose sum is σ = 29136240. Its totient is φ = 3451392.

The previous prime is 10726741. The next prime is 10726753. The reversal of 10726752 is 25762701.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10726753) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 858 + ... + 4710.

It is an arithmetic number, because the mean of its divisors is an integer number (607005).

Almost surely, 2^10726752 is an apocalyptic number.

10726752 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 10726752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14568120).

10726752 is an abundant number, since it is smaller than the sum of its proper divisors (18409488).

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

10726752 is a wasteful number, since it uses less digits than its factorization.

10726752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3895 (or 3887 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 30.

The square root of 10726752 is about 3275.1720565491. The cubic root of 10726752 is about 220.5410375026.

The spelling of 10726752 in words is "ten million, seven hundred twenty-six thousand, seven hundred fifty-two".