1307011272 has 128 divisors (see below), whose sum is σ = 4008787200. Its totient is φ = 346595328.

The previous prime is 1307011259. The next prime is 1307011291. The reversal of 1307011272 is 2721107031.

1307011272 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 205354 + ... + 211622.

It is an arithmetic number, because the mean of its divisors is an integer number (31318650).

Almost surely, 2^1307011272 is an apocalyptic number.

1307011272 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 1307011272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2004393600).

1307011272 is an abundant number, since it is smaller than the sum of its proper divisors (2701775928).

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

1307011272 is a wasteful number, since it uses less digits than its factorization.

1307011272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6375 (or 6371 counting only the distinct ones).

The product of its (nonzero) digits is 588, while the sum is 24.

The square root of 1307011272 is about 36152.6108600748. The cubic root of 1307011272 is about 1093.3514309748.

It can be divided in two parts, 13070 and 11272, that added together give a palindrome (24342).

The spelling of 1307011272 in words is "one billion, three hundred seven million, eleven thousand, two hundred seventy-two".