72517967 has 6 divisors (see below), whose sum is σ = 72969672. Its totient is φ = 72069032.

The previous prime is 72517943. The next prime is 72517969. The reversal of 72517967 is 76971527.

It is a de Polignac number, because none of the positive numbers 2^k-72517967 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72517969) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 28718 + ... + 31140.

It is an arithmetic number, because the mean of its divisors is an integer number (12161612).

Almost surely, 2^72517967 is an apocalyptic number.

72517967 is a deficient number, since it is larger than the sum of its proper divisors (451705).

72517967 is an equidigital number, since it uses as much as digits as its factorization.

72517967 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2769 (or 2596 counting only the distinct ones).

The product of its digits is 185220, while the sum is 44.

The square root of 72517967 is about 8515.7481761734. The cubic root of 72517967 is about 417.0119881461.

The spelling of 72517967 in words is "seventy-two million, five hundred seventeen thousand, nine hundred sixty-seven".