1309338072 has 192 divisors, whose sum is σ = 4215644160. Its totient is φ = 359251200.

The previous prime is 1309338071. The next prime is 1309338073. The reversal of 1309338072 is 2708339031.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1309338071) and next prime (1309338073).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1309338071) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2827713 + ... + 2828175.

It is an arithmetic number, because the mean of its divisors is an integer number (21956480).

Almost surely, 2^1309338072 is an apocalyptic number.

1309338072 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 1309338072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2107822080).

1309338072 is an abundant number, since it is smaller than the sum of its proper divisors (2906306088).

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

1309338072 is a wasteful number, since it uses less digits than its factorization.

1309338072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694 (or 687 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 1309338072 is about 36184.7767990905. The cubic root of 1309338072 is about 1093.9998574018. Note that the first 3 decimals are identical.

The spelling of 1309338072 in words is "one billion, three hundred nine million, three hundred thirty-eight thousand, seventy-two".