1272864205 has 32 divisors (see below), whose sum is σ = 1651039200. Its totient is φ = 938606592.

The previous prime is 1272864193. The next prime is 1272864217. The reversal of 1272864205 is 5024682721.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1272864193) and next prime (1272864217).

It can be written as a sum of positive squares in 16 ways, for example, as 854334441 + 418529764 = 29229^2 + 20458^2 .

It is a cyclic number.

It is not a de Polignac number, because 1272864205 - 2¹⁵ = 1272831437 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 854101 + ... + 855589.

It is an arithmetic number, because the mean of its divisors is an integer number (51594975).

Almost surely, 2^1272864205 is an apocalyptic number.

It is an amenable number.

1272864205 is a deficient number, since it is larger than the sum of its proper divisors (378174995).

1272864205 is a wasteful number, since it uses less digits than its factorization.

1272864205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1713.

The product of its (nonzero) digits is 53760, while the sum is 37.

The square root of 1272864205 is about 35677.2224955923. Note that the first 3 decimals coincide. The cubic root of 1272864205 is about 1083.7456264759.

The spelling of 1272864205 in words is "one billion, two hundred seventy-two million, eight hundred sixty-four thousand, two hundred five".