10728125 has 12 divisors (see below), whose sum is σ = 13413204. Its totient is φ = 8580000.

The previous prime is 10728083. The next prime is 10728127. The reversal of 10728125 is 52182701.

It can be written as a sum of positive squares in 6 ways, for example, as 9504889 + 1223236 = 3083^2 + 1106^2 .

It is not a de Polignac number, because 10728125 - 2⁶ = 10728061 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10728094 and 10728103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10728127) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1409 + ... + 4841.

It is an arithmetic number, because the mean of its divisors is an integer number (1117767).

Almost surely, 2^10728125 is an apocalyptic number.

It is an amenable number.

10728125 is a deficient number, since it is larger than the sum of its proper divisors (2685079).

10728125 is an frugal number, since it uses more digits than its factorization.

10728125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3458 (or 3438 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 26.

The square root of 10728125 is about 3275.3816571508. The cubic root of 10728125 is about 220.5504466859.

The spelling of 10728125 in words is "ten million, seven hundred twenty-eight thousand, one hundred twenty-five".