7313067072 has 224 divisors, whose sum is σ = 22911206400. Its totient is φ = 2279448576.

The previous prime is 7313067071. The next prime is 7313067079. The reversal of 7313067072 is 2707603137.

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

It is not an unprimeable number, because it can be changed into a prime (7313067071) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5081329 + ... + 5082767.

Almost surely, 2^7313067072 is an apocalyptic number.

7313067072 is a gapful number since it is divisible by the number (72) 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 7313067072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11455603200).

7313067072 is an abundant number, since it is smaller than the sum of its proper divisors (15598139328).

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

7313067072 is a wasteful number, since it uses less digits than its factorization.

7313067072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1650 (or 1634 counting only the distinct ones).

The product of its (nonzero) digits is 37044, while the sum is 36.

The square root of 7313067072 is about 85516.4725184569. The cubic root of 7313067072 is about 1941.0341912092.

The spelling of 7313067072 in words is "seven billion, three hundred thirteen million, sixty-seven thousand, seventy-two".