7572654441 has 63 divisors (see below), whose sum is σ = 12522521767. Its totient is φ = 4573823760.

The previous prime is 7572654407. The next prime is 7572654443. The reversal of 7572654441 is 1444562757.

The square root of 7572654441 is 87021.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 7164776025 + 407878416 = 84645^2 + 20196^2 .

It is not a de Polignac number, because 7572654441 - 2¹¹ = 7572652393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7572654443) 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 62 ways as a sum of consecutive naturals, for example, 25845091 + ... + 25845383.

Almost surely, 2^7572654441 is an apocalyptic number.

7572654441 is the 87021-st square number.

7572654441 is the 43511-st centered octagonal number.

It is an amenable number.

7572654441 is a deficient number, since it is larger than the sum of its proper divisors (4949867326).

7572654441 is an frugal number, since it uses more digits than its factorization.

7572654441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626 (or 307 counting only the distinct ones).

The product of its digits is 940800, while the sum is 45.

The cubic root of 7572654441 is about 1963.7342422328.

The spelling of 7572654441 in words is "seven billion, five hundred seventy-two million, six hundred fifty-four thousand, four hundred forty-one".