72327193 has 8 divisors (see below), whose sum is σ = 74560712. Its totient is φ = 70108416.

The previous prime is 72327191. The next prime is 72327209. The reversal of 72327193 is 39172327.

It can be written as a sum of positive squares in 4 ways, for example, as 38837824 + 33489369 = 6232^2 + 5787^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 72327193 - 2¹ = 72327191 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72327191) 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 7 ways as a sum of consecutive naturals, for example, 6721 + ... + 13777.

It is an arithmetic number, because the mean of its divisors is an integer number (9320089).

Almost surely, 2^72327193 is an apocalyptic number.

It is an amenable number.

72327193 is a deficient number, since it is larger than the sum of its proper divisors (2233519).

72327193 is a wasteful number, since it uses less digits than its factorization.

72327193 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7371.

The product of its digits is 15876, while the sum is 34.

The square root of 72327193 is about 8504.5395524978. The cubic root of 72327193 is about 416.6459873115.

The spelling of 72327193 in words is "seventy-two million, three hundred twenty-seven thousand, one hundred ninety-three".