7254988272 has 240 divisors, whose sum is σ = 25863701760. Its totient is φ = 1848158208.

The previous prime is 7254988271. The next prime is 7254988297. The reversal of 7254988272 is 2728894527.

7254988272 is a `hidden beast` number, since 7 + 2 + 5 + 498 + 82 + 72 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7254988271) 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 47 ways as a sum of consecutive naturals, for example, 314443 + ... + 336725.

It is an arithmetic number, because the mean of its divisors is an integer number (107765424).

Almost surely, 2^7254988272 is an apocalyptic number.

7254988272 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 7254988272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12931850880).

7254988272 is an abundant number, since it is smaller than the sum of its proper divisors (18608713488).

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

7254988272 is a wasteful number, since it uses less digits than its factorization.

7254988272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22340 (or 22331 counting only the distinct ones).

The product of its digits is 4515840, while the sum is 54.

The square root of 7254988272 is about 85176.2189346299. The cubic root of 7254988272 is about 1935.8821032752.

The spelling of 7254988272 in words is "seven billion, two hundred fifty-four million, nine hundred eighty-eight thousand, two hundred seventy-two".