9072601344 has 432 divisors, whose sum is σ = 30052294272. Its totient is φ = 2715254784.

The previous prime is 9072601333. The next prime is 9072601393. The reversal of 9072601344 is 4431062709.

9072601344 is a `hidden beast` number, since 9 + 0 + 7 + 2 + 601 + 3 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a junction number, because it is equal to n+sod(n) for n = 9072601299 and 9072601308.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24323142 + ... + 24323514.

It is an arithmetic number, because the mean of its divisors is an integer number (69565496).

Almost surely, 2^9072601344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9072601344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15026147136).

9072601344 is an abundant number, since it is smaller than the sum of its proper divisors (20979692928).

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

9072601344 is a wasteful number, since it uses less digits than its factorization.

9072601344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 9072601344 is about 95250.2039052936. The cubic root of 9072601344 is about 2085.6620680955.

The spelling of 9072601344 in words is "nine billion, seventy-two million, six hundred one thousand, three hundred forty-four".