72354309 has 16 divisors (see below), whose sum is σ = 97996800. Its totient is φ = 47480256.

The previous prime is 72354281. The next prime is 72354311. The reversal of 72354309 is 90345327.

It is a happy number.

It is not a de Polignac number, because 72354309 - 2¹³ = 72346117 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 72354309.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72354319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55932 + ... + 57210.

It is an arithmetic number, because the mean of its divisors is an integer number (6124800).

Almost surely, 2^72354309 is an apocalyptic number.

It is an amenable number.

72354309 is a deficient number, since it is larger than the sum of its proper divisors (25642491).

72354309 is a wasteful number, since it uses less digits than its factorization.

72354309 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1564.

The product of its (nonzero) digits is 22680, while the sum is 33.

The square root of 72354309 is about 8506.1336105189. The cubic root of 72354309 is about 416.6980486941.

The spelling of 72354309 in words is "seventy-two million, three hundred fifty-four thousand, three hundred nine".