72517319 has 12 divisors (see below), whose sum is σ = 87471504. Its totient is φ = 58884192.

The previous prime is 72517283. The next prime is 72517327. The reversal of 72517319 is 91371527.

It is a happy number.

It is not a de Polignac number, because 72517319 - 2⁸ = 72517063 is a prime.

It is a super-2 number, since 2×72517319² = 10517523109895522, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72517369) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11822 + ... + 16875.

It is an arithmetic number, because the mean of its divisors is an integer number (7289292).

Almost surely, 2^72517319 is an apocalyptic number.

72517319 is a deficient number, since it is larger than the sum of its proper divisors (14954185).

72517319 is a wasteful number, since it uses less digits than its factorization.

72517319 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28742 (or 28723 counting only the distinct ones).

The product of its digits is 13230, while the sum is 35.

The square root of 72517319 is about 8515.7101289323. The cubic root of 72517319 is about 417.0107460421.

The spelling of 72517319 in words is "seventy-two million, five hundred seventeen thousand, three hundred nineteen".