72524105809 has 9 divisors (see below), whose sum is σ = 73579357659. Its totient is φ = 71483788320.

The previous prime is 72524105783. The next prime is 72524105827. The reversal of 72524105809 is 90850142527.

The square root of 72524105809 is 269303.

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., 13148062225 + 59376043584 = 114665^2 + 243672^2 .

It is not a de Polignac number, because 72524105809 - 2⁷ = 72524105681 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72524105869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 19118617 + ... + 19122409.

Almost surely, 2^72524105809 is an apocalyptic number.

72524105809 is the 269303-rd square number.

72524105809 is the 134652-nd centered octagonal number.

It is an amenable number.

72524105809 is a deficient number, since it is larger than the sum of its proper divisors (1055251850).

72524105809 is an frugal number, since it uses more digits than its factorization.

72524105809 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7728 (or 3864 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 43.

The spelling of 72524105809 in words is "seventy-two billion, five hundred twenty-four million, one hundred five thousand, eight hundred nine".