72165309 has 8 divisors (see below), whose sum is σ = 98458272. Its totient is φ = 46991280.

The previous prime is 72165307. The next prime is 72165377. The reversal of 72165309 is 90356127.

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

It is not a de Polignac number, because 72165309 - 2¹ = 72165307 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 72165309.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72165307) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 279582 + ... + 279839.

It is an arithmetic number, because the mean of its divisors is an integer number (12307284).

Almost surely, 2^72165309 is an apocalyptic number.

It is an amenable number.

72165309 is a deficient number, since it is larger than the sum of its proper divisors (26292963).

72165309 is a wasteful number, since it uses less digits than its factorization.

72165309 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559467.

The product of its (nonzero) digits is 11340, while the sum is 33.

The square root of 72165309 is about 8495.0167156987. The cubic root of 72165309 is about 416.3349069731.

The spelling of 72165309 in words is "seventy-two million, one hundred sixty-five thousand, three hundred nine".