7472275200 has 648 divisors, whose sum is σ = 30514328208. Its totient is φ = 1728184320.

The previous prime is 7472275189. The next prime is 7472275201. The reversal of 7472275200 is 25722747.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7472275201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12729307 + ... + 12729893.

Almost surely, 2^7472275200 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 7472275200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15257164104).

7472275200 is an abundant number, since it is smaller than the sum of its proper divisors (23042053008).

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

7472275200 is a wasteful number, since it uses less digits than its factorization.

7472275200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 649 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 54880, while the sum is 36.

The square root of 7472275200 is about 86442.3229673983. The cubic root of 7472275200 is about 1955.0188663437.

Adding to 7472275200 its reverse (25722747), we get a palindrome (7497997947).

The spelling of 7472275200 in words is "seven billion, four hundred seventy-two million, two hundred seventy-five thousand, two hundred".