7381728000 has 648 divisors, whose sum is σ = 28428001056. Its totient is φ = 1838592000.

The previous prime is 7381727993. The next prime is 7381728001. The reversal of 7381728000 is 8271837.

It is a super-3 number, since 3×7381728000³ (a number of 31 digits) contains 333 as substring.

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 (7381728001) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 103967965 + ... + 103968035.

It is an arithmetic number, because the mean of its divisors is an integer number (43870372).

Almost surely, 2^7381728000 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 7381728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14214000528).

7381728000 is an abundant number, since it is smaller than the sum of its proper divisors (21046273056).

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

7381728000 is a wasteful number, since it uses less digits than its factorization.

7381728000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 7381728000 is about 85916.9831872605. The cubic root of 7381728000 is about 1947.0899394431.

Adding to 7381728000 its reverse (8271837), we get a palindrome (7389999837).

The spelling of 7381728000 in words is "seven billion, three hundred eighty-one million, seven hundred twenty-eight thousand".