7344387072 has 704 divisors, whose sum is σ = 26411212800. Its totient is φ = 1990656000.

The previous prime is 7344387059. The next prime is 7344387079. The reversal of 7344387072 is 2707834437.

7344387072 is a `hidden beast` number, since 73 + 443 + 8 + 70 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (704).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7344387079) 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 63 ways as a sum of consecutive naturals, for example, 179131372 + ... + 179131412.

Almost surely, 2^7344387072 is an apocalyptic number.

7344387072 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 7344387072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13205606400).

7344387072 is an abundant number, since it is smaller than the sum of its proper divisors (19066825728).

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

7344387072 is a wasteful number, since it uses less digits than its factorization.

7344387072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 790272, while the sum is 45.

The square root of 7344387072 is about 85699.3994844771. The cubic root of 7344387072 is about 1943.8012294862.

The spelling of 7344387072 in words is "seven billion, three hundred forty-four million, three hundred eighty-seven thousand, seventy-two".