1306195072 has 64 divisors (see below), whose sum is σ = 3202718400. Its totient is φ = 516731904.

The previous prime is 1306195067. The next prime is 1306195087. The reversal of 1306195072 is 2705916031.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×1306195072² = 3412291132234170368, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44422 + ... + 67717.

It is an arithmetic number, because the mean of its divisors is an integer number (50042475).

Almost surely, 2^1306195072 is an apocalyptic number.

It is an amenable number.

1306195072 is an abundant number, since it is smaller than the sum of its proper divisors (1896523328).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1306195072 is a wasteful number, since it uses less digits than its factorization.

1306195072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112173 (or 112161 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 34.

The square root of 1306195072 is about 36141.3208391724. The cubic root of 1306195072 is about 1093.1237922182.

The spelling of 1306195072 in words is "one billion, three hundred six million, one hundred ninety-five thousand, seventy-two".