10772560 has 60 divisors (see below), whose sum is σ = 26820828. Its totient is φ = 4009984.

The previous prime is 10772557. The next prime is 10772581. The reversal of 10772560 is 6527701.

It can be written as a sum of positive squares in 6 ways, for example, as 685584 + 10086976 = 828^2 + 3176^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 120996 + ... + 121084.

Almost surely, 2^10772560 is an apocalyptic number.

10772560 is a gapful number since it is divisible by the number (10) 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 10772560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13410414).

10772560 is an abundant number, since it is smaller than the sum of its proper divisors (16048268).

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

10772560 is an equidigital number, since it uses as much as digits as its factorization.

10772560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 28.

The square root of 10772560 is about 3282.1578267963. The cubic root of 10772560 is about 220.8545277708.

The spelling of 10772560 in words is "ten million, seven hundred seventy-two thousand, five hundred sixty".