1072125 has 24 divisors (see below), whose sum is σ = 1934712. Its totient is φ = 571200.

The previous prime is 1072103. The next prime is 1072129. The reversal of 1072125 is 5212701.

It can be written as a sum of positive squares in 4 ways, for example, as 68121 + 1004004 = 261^2 + 1002^2 .

It is not a de Polignac number, because 1072125 - 2¹⁴ = 1055741 is a prime.

It is a super-2 number, since 2×1072125² = 2298904031250, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1072098 and 1072107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1072129) 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 23 ways as a sum of consecutive naturals, for example, 649 + ... + 1601.

It is an arithmetic number, because the mean of its divisors is an integer number (80613).

2^1072125 is an apocalyptic number.

1072125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1072125 is a deficient number, since it is larger than the sum of its proper divisors (862587).

1072125 is an equidigital number, since it uses as much as digits as its factorization.

1072125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 974 (or 961 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 1072125 is about 1035.4346913253. The cubic root of 1072125 is about 102.3485767298.

Adding to 1072125 its reverse (5212701), we get a palindrome (6284826).

The spelling of 1072125 in words is "one million, seventy-two thousand, one hundred twenty-five".