1305427872 has 96 divisors (see below), whose sum is σ = 3930982272. Its totient is φ = 371579904.

The previous prime is 1305427853. The next prime is 1305427883. The reversal of 1305427872 is 2787245031.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 1305427872.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 182638 + ... + 189650.

It is an arithmetic number, because the mean of its divisors is an integer number (40947732).

Almost surely, 2^1305427872 is an apocalyptic number.

1305427872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1305427872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1965491136).

1305427872 is an abundant number, since it is smaller than the sum of its proper divisors (2625554400).

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

1305427872 is a wasteful number, since it uses less digits than its factorization.

1305427872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7310 (or 7302 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 39.

The square root of 1305427872 is about 36130.7053902910. The cubic root of 1305427872 is about 1092.9097331191.

The spelling of 1305427872 in words is "one billion, three hundred five million, four hundred twenty-seven thousand, eight hundred seventy-two".