72775567 has 8 divisors (see below), whose sum is σ = 77468400. Its totient is φ = 68169024.

The previous prime is 72775561. The next prime is 72775579. The reversal of 72775567 is 76557727.

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

It is a cyclic number.

It is not a de Polignac number, because 72775567 - 2¹⁹ = 72251279 is a prime.

It is a Duffinian number.

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72775561) 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, 19828 + ... + 23209.

It is an arithmetic number, because the mean of its divisors is an integer number (9683550).

Almost surely, 2^72775567 is an apocalyptic number.

72775567 is a deficient number, since it is larger than the sum of its proper divisors (4692833).

72775567 is a wasteful number, since it uses less digits than its factorization.

72775567 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43145.

The product of its digits is 720300, while the sum is 46.

The square root of 72775567 is about 8530.8596870421. The cubic root of 72775567 is about 417.5051778434.

The spelling of 72775567 in words is "seventy-two million, seven hundred seventy-five thousand, five hundred sixty-seven".