73805132241 has 27 divisors (see below), whose sum is σ = 107553963153. Its totient is φ = 48770377920.

The previous prime is 73805132201. The next prime is 73805132243. The reversal of 73805132241 is 14223150837.

The square root of 73805132241 is 271671.

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

73805132241 is a `hidden beast` number, since 7 + 3 + 80 + 513 + 22 + 41 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11307132225 + 62498000016 = 106335^2 + 249996^2 .

It is not a de Polignac number, because 73805132241 - 2¹³ = 73805124049 is a prime.

It is a super-2 number, since 2×73805132241² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 73805132196 and 73805132205.

It is not an unprimeable number, because it can be changed into a prime (73805132243) 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 26 ways as a sum of consecutive naturals, for example, 111656451 + ... + 111657111.

Almost surely, 2^73805132241 is an apocalyptic number.

73805132241 is the 271671-st square number.

73805132241 is the 135836-th centered octagonal number.

It is an amenable number.

73805132241 is a deficient number, since it is larger than the sum of its proper divisors (33748830912).

73805132241 is an frugal number, since it uses more digits than its factorization.

73805132241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1602 (or 801 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

Multiplying 73805132241 by its sum of digits (36), we get a square (2656984760676 = 1630026²).

The spelling of 73805132241 in words is "seventy-three billion, eight hundred five million, one hundred thirty-two thousand, two hundred forty-one".