1072 has 10 divisors (see below), whose sum is σ = 2108. Its totient is φ = 528.

The previous prime is 1069. The next prime is 1087. The reversal of 1072 is 2701.

Adding to 1072 its reverse (2701), we get a palindrome (3773).

1072 is nontrivially palindromic in base 13.

It is a super-2 number, since 2×1072^{2} = 2298368, which contains 22 as substring.

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

1072 is an undulating number in base 13.

It is a plaindrome in base 14.

It is a nialpdrome in base 12 and base 16.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18 + ... + 49.

1072 is the 18-th centered heptagonal number.

It is an amenable number.

1072 is a deficient number, since it is larger than the sum of its proper divisors (1036).

1072 is an equidigital number, since it uses as much as digits as its factorization.

1072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 14, while the sum is 10.

The square root of 1072 is about 32.7414110875. The cubic root of 1072 is about 10.2344598938.

The spelling of 1072 in words is "one thousand, seventy-two", and thus it is an iban number.

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