72105345 has 72 divisors (see below), whose sum is σ = 141306984. Its totient is φ = 33808896.

The previous prime is 72105343. The next prime is 72105401. The reversal of 72105345 is 54350127.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 76176 + 72029169 = 276^2 + 8487^2 .

It is not a de Polignac number, because 72105345 - 2¹ = 72105343 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72105343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 309349 + ... + 309581.

It is an arithmetic number, because the mean of its divisors is an integer number (1962597).

Almost surely, 2^72105345 is an apocalyptic number.

It is an amenable number.

72105345 is a deficient number, since it is larger than the sum of its proper divisors (69201639).

72105345 is a wasteful number, since it uses less digits than its factorization.

72105345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 72105345 is about 8491.4866189614. The cubic root of 72105345 is about 416.2195605801.

The spelling of 72105345 in words is "seventy-two million, one hundred five thousand, three hundred forty-five".