1072127 has 8 divisors (see below), whose sum is σ = 1238016. Its totient is φ = 909432.

The previous prime is 1072103. The next prime is 1072129. The reversal of 1072127 is 7212701.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1072127 - 2⁸ = 1071871 is a prime.

It is a super-2 number, since 2×1072127² = 2298912608258, which contains 22 as substring.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1072099 and 1072108.

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 polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23 + ... + 1464.

It is an arithmetic number, because the mean of its divisors is an integer number (154752).

2^1072127 is an apocalyptic number.

1072127 is a deficient number, since it is larger than the sum of its proper divisors (165889).

1072127 is a wasteful number, since it uses less digits than its factorization.

1072127 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1597.

The product of its (nonzero) digits is 196, while the sum is 20.

The square root of 1072127 is about 1035.4356571028. The cubic root of 1072127 is about 102.3486403720.

Adding to 1072127 its reverse (7212701), we get a palindrome (8284828).

The spelling of 1072127 in words is "one million, seventy-two thousand, one hundred twenty-seven".