72718767 has 24 divisors (see below), whose sum is σ = 114860928. Its totient is φ = 43966800.

The previous prime is 72718759. The next prime is 72718787. The reversal of 72718767 is 76781727.

It is a happy number.

It is not a de Polignac number, because 72718767 - 2³ = 72718759 is a prime.

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 (72718717) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67878 + ... + 68940.

It is an arithmetic number, because the mean of its divisors is an integer number (4785872).

Almost surely, 2^72718767 is an apocalyptic number.

72718767 is a deficient number, since it is larger than the sum of its proper divisors (42142161).

72718767 is a wasteful number, since it uses less digits than its factorization.

72718767 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1771 (or 1768 counting only the distinct ones).

The product of its digits is 230496, while the sum is 45.

The square root of 72718767 is about 8527.5299471770. The cubic root of 72718767 is about 417.3965311860.

The spelling of 72718767 in words is "seventy-two million, seven hundred eighteen thousand, seven hundred sixty-seven".