72288393 has 16 divisors (see below), whose sum is σ = 98712000. Its totient is φ = 47040320.

The previous prime is 72288383. The next prime is 72288421. The reversal of 72288393 is 39388227.

It is a cyclic number.

It is not a de Polignac number, because 72288393 - 2¹² = 72284297 is a prime.

It is a super-2 number, since 2×72288393² = 10451223525044898, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (72288353) 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, 25003 + ... + 27743.

It is an arithmetic number, because the mean of its divisors is an integer number (6169500).

Almost surely, 2^72288393 is an apocalyptic number.

It is an amenable number.

72288393 is a deficient number, since it is larger than the sum of its proper divisors (26423607).

72288393 is a wasteful number, since it uses less digits than its factorization.

72288393 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2952.

The product of its digits is 145152, while the sum is 42.

The square root of 72288393 is about 8502.2581118195. The cubic root of 72288393 is about 416.5714705899.

The spelling of 72288393 in words is "seventy-two million, two hundred eighty-eight thousand, three hundred ninety-three".