72109265 has 8 divisors (see below), whose sum is σ = 87163560. Its totient is φ = 57265792.

The previous prime is 72109243. The next prime is 72109267. The reversal of 72109265 is 56290127.

It can be written as a sum of positive squares in 4 ways, for example, as 1263376 + 70845889 = 1124^2 + 8417^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 72109265 - 2¹⁰ = 72108241 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72109267) 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 7 ways as a sum of consecutive naturals, for example, 51950 + ... + 53319.

It is an arithmetic number, because the mean of its divisors is an integer number (10895445).

Almost surely, 2^72109265 is an apocalyptic number.

It is an amenable number.

72109265 is a deficient number, since it is larger than the sum of its proper divisors (15054295).

72109265 is a wasteful number, since it uses less digits than its factorization.

72109265 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105411.

The product of its (nonzero) digits is 7560, while the sum is 32.

The square root of 72109265 is about 8491.7174352424. The cubic root of 72109265 is about 416.2271030220.

The spelling of 72109265 in words is "seventy-two million, one hundred nine thousand, two hundred sixty-five".