7261257472 has 216 divisors, whose sum is σ = 17716672512. Its totient is φ = 2957875200.

The previous prime is 7261257457. The next prime is 7261257473. The reversal of 7261257472 is 2747521627.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7261257473) 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 23 ways as a sum of consecutive naturals, for example, 27609213 + ... + 27609475.

It is an arithmetic number, because the mean of its divisors is an integer number (82021632).

Almost surely, 2^7261257472 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 7261257472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8858336256).

7261257472 is an abundant number, since it is smaller than the sum of its proper divisors (10455415040).

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

7261257472 is a wasteful number, since it uses less digits than its factorization.

7261257472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 374 counting only the distinct ones).

The product of its digits is 329280, while the sum is 43.

The square root of 7261257472 is about 85213.0123396656. The cubic root of 7261257472 is about 1936.4395559554.

The spelling of 7261257472 in words is "seven billion, two hundred sixty-one million, two hundred fifty-seven thousand, four hundred seventy-two".