72147393 has 12 divisors (see below), whose sum is σ = 104288340. Its totient is φ = 48063456.

The previous prime is 72147391. The next prime is 72147403. The reversal of 72147393 is 39374127.

It can be written as a sum of positive squares in 2 ways, for example, as 27751824 + 44395569 = 5268^2 + 6663^2 .

It is not a de Polignac number, because 72147393 - 2¹ = 72147391 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (72147391) 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 11 ways as a sum of consecutive naturals, for example, 18655 + ... + 22187.

It is an arithmetic number, because the mean of its divisors is an integer number (8690695).

Almost surely, 2^72147393 is an apocalyptic number.

It is an amenable number.

72147393 is a deficient number, since it is larger than the sum of its proper divisors (32140947).

72147393 is a wasteful number, since it uses less digits than its factorization.

72147393 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5808 (or 5805 counting only the distinct ones).

The product of its digits is 31752, while the sum is 36.

The square root of 72147393 is about 8493.9621496684. The cubic root of 72147393 is about 416.3004505579.

The spelling of 72147393 in words is "seventy-two million, one hundred forty-seven thousand, three hundred ninety-three".