72509199 has 32 divisors (see below), whose sum is σ = 117697536. Its totient is φ = 38760960.

The previous prime is 72509183. The next prime is 72509237. The reversal of 72509199 is 99190527.

It is not a de Polignac number, because 72509199 - 2⁴ = 72509183 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 72509199.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72509699) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69814 + ... + 70844.

It is an arithmetic number, because the mean of its divisors is an integer number (3678048).

Almost surely, 2^72509199 is an apocalyptic number.

72509199 is a deficient number, since it is larger than the sum of its proper divisors (45188337).

72509199 is a wasteful number, since it uses less digits than its factorization.

72509199 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1255.

The product of its (nonzero) digits is 51030, while the sum is 42.

The square root of 72509199 is about 8515.2333497092. The cubic root of 72509199 is about 416.9951807781.

The spelling of 72509199 in words is "seventy-two million, five hundred nine thousand, one hundred ninety-nine".