7378443072 has 672 divisors, whose sum is σ = 28970532864. Its totient is φ = 1733529600.

The previous prime is 7378443013. The next prime is 7378443073. The reversal of 7378443072 is 2703448737.

7378443072 is a `hidden beast` number, since 73 + 7 + 84 + 430 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7378443073) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38630497 + ... + 38630687.

It is an arithmetic number, because the mean of its divisors is an integer number (43110912).

Almost surely, 2^7378443072 is an apocalyptic number.

7378443072 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 7378443072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14485266432).

7378443072 is an abundant number, since it is smaller than the sum of its proper divisors (21592089792).

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

7378443072 is a wasteful number, since it uses less digits than its factorization.

7378443072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 294 counting only the distinct ones).

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

The square root of 7378443072 is about 85897.8641876502. The cubic root of 7378443072 is about 1946.8010730575.

The spelling of 7378443072 in words is "seven billion, three hundred seventy-eight million, four hundred forty-three thousand, seventy-two".