7472518272 has 224 divisors, whose sum is σ = 22646151180. Its totient is φ = 2454478848.

The previous prime is 7472518259. The next prime is 7472518279. The reversal of 7472518272 is 2728152747.

It can be written as a sum of positive squares in 2 ways, for example, as 7427681856 + 44836416 = 86184^2 + 6696^2 .

It is not an unprimeable number, because it can be changed into a prime (7472518279) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 6811228 + ... + 6812324.

Almost surely, 2^7472518272 is an apocalyptic number.

7472518272 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 7472518272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11323075590).

7472518272 is an abundant number, since it is smaller than the sum of its proper divisors (15173632908).

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

7472518272 is an equidigital number, since it uses as much as digits as its factorization.

7472518272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1202 (or 1175 counting only the distinct ones).

The product of its digits is 439040, while the sum is 45.

The square root of 7472518272 is about 86443.7289339140. The cubic root of 7472518272 is about 1955.0400649381.

The spelling of 7472518272 in words is "seven billion, four hundred seventy-two million, five hundred eighteen thousand, two hundred seventy-two".