1296072001 has 27 divisors (see below), whose sum is σ = 1560752739. Its totient is φ = 1073117808.

The previous prime is 1296071989. The next prime is 1296072013. The reversal of 1296072001 is 1002706921.

It is a happy number.

The square root of 1296072001 is 36001.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (1296071989) and next prime (1296072013).

It can be written as a sum of positive squares in only one way, i.e., 1159743025 + 136328976 = 34055^2 + 11676^2 .

It is not a de Polignac number, because 1296072001 - 2²⁵ = 1262517569 is a prime.

It is a super-2 number, since 2×1296072001² = 3359605263552288002, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1296072101) 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 26 ways as a sum of consecutive naturals, for example, 9324190 + ... + 9324328.

It is an arithmetic number, because the mean of its divisors is an integer number (57805657).

Almost surely, 2^1296072001 is an apocalyptic number.

1296072001 is the 36001-st square number.

1296072001 is the 18001-st centered octagonal number.

It is an amenable number.

1296072001 is a deficient number, since it is larger than the sum of its proper divisors (264680738).

1296072001 is an frugal number, since it uses more digits than its factorization.

1296072001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 28.

The cubic root of 1296072001 is about 1090.2925458346.

Adding to 1296072001 its reverse (1002706921), we get a palindrome (2298778922).

The spelling of 1296072001 in words is "one billion, two hundred ninety-six million, seventy-two thousand, one".