10772123 has 4 divisors (see below), whose sum is σ = 10779600. Its totient is φ = 10764648.

The previous prime is 10772093. The next prime is 10772129. The reversal of 10772123 is 32127701.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 32127701 = 787 ⋅40823.

It is a cyclic number.

It is not a de Polignac number, because 10772123 - 2¹² = 10768027 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10772129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 815 + ... + 4712.

It is an arithmetic number, because the mean of its divisors is an integer number (2694900).

Almost surely, 2^10772123 is an apocalyptic number.

10772123 is a deficient number, since it is larger than the sum of its proper divisors (7477).

10772123 is an equidigital number, since it uses as much as digits as its factorization.

10772123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7476.

The product of its (nonzero) digits is 588, while the sum is 23.

The square root of 10772123 is about 3282.0912540635. The cubic root of 10772123 is about 220.8515413332.

Adding to 10772123 its reverse (32127701), we get a palindrome (42899824).

The spelling of 10772123 in words is "ten million, seven hundred seventy-two thousand, one hundred twenty-three".