72786321 has 24 divisors (see below), whose sum is σ = 112338720. Its totient is φ = 45277056.

The previous prime is 72786293. The next prime is 72786341. The reversal of 72786321 is 12368727.

It is not a de Polignac number, because 72786321 - 2⁶ = 72786257 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (72786341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8281 + ... + 14633.

It is an arithmetic number, because the mean of its divisors is an integer number (4680780).

Almost surely, 2^72786321 is an apocalyptic number.

It is an amenable number.

72786321 is a deficient number, since it is larger than the sum of its proper divisors (39552399).

72786321 is a wasteful number, since it uses less digits than its factorization.

72786321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6445 (or 6442 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 72786321 is about 8531.4899636582. The cubic root of 72786321 is about 417.5257416569.

The spelling of 72786321 in words is "seventy-two million, seven hundred eighty-six thousand, three hundred twenty-one".