1360116072 has 192 divisors, whose sum is σ = 4375388160. Its totient is φ = 373507200.

The previous prime is 1360116049. The next prime is 1360116077. The reversal of 1360116072 is 2706110631.

It is not an unprimeable number, because it can be changed into a prime (1360116077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4108947 + ... + 4109277.

It is an arithmetic number, because the mean of its divisors is an integer number (22788480).

Almost surely, 2^1360116072 is an apocalyptic number.

1360116072 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 1360116072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2187694080).

1360116072 is an abundant number, since it is smaller than the sum of its proper divisors (3015272088).

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

1360116072 is a wasteful number, since it uses less digits than its factorization.

1360116072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 1360116072 is about 36879.7515176011. The cubic root of 1360116072 is about 1107.9631700235.

The spelling of 1360116072 in words is "one billion, three hundred sixty million, one hundred sixteen thousand, seventy-two".