72045393 has 16 divisors (see below), whose sum is σ = 111175680. Its totient is φ = 40646736.

The previous prime is 72045377. The next prime is 72045427. The reversal of 72045393 is 39354027.

It is a happy number.

It is not a de Polignac number, because 72045393 - 2⁴ = 72045377 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (72045293) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20055 + ... + 23372.

It is an arithmetic number, because the mean of its divisors is an integer number (6948480).

Almost surely, 2^72045393 is an apocalyptic number.

It is an amenable number.

72045393 is a deficient number, since it is larger than the sum of its proper divisors (39130287).

72045393 is a wasteful number, since it uses less digits than its factorization.

72045393 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43516.

The product of its (nonzero) digits is 22680, while the sum is 33.

The square root of 72045393 is about 8487.9557609592. The cubic root of 72045393 is about 416.1041733225.

The spelling of 72045393 in words is "seventy-two million, forty-five thousand, three hundred ninety-three".