72142393 has 2 divisors, whose sum is σ = 72142394. Its totient is φ = 72142392.

The previous prime is 72142379. The next prime is 72142397. The reversal of 72142393 is 39324127.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 55756089 + 16386304 = 7467^2 + 4048^2 .

It is a cyclic number.

It is not a de Polignac number, because 72142393 - 2⁵ = 72142361 is a prime.

It is a super-5 number, since 5×72142393⁵ (a number of 40 digits) contains 55555 as substring.

It is not a weakly prime, because it can be changed into another prime (72142397) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36071196 + 36071197.

It is an arithmetic number, because the mean of its divisors is an integer number (36071197).

Almost surely, 2^72142393 is an apocalyptic number.

It is an amenable number.

72142393 is a deficient number, since it is larger than the sum of its proper divisors (1).

72142393 is an equidigital number, since it uses as much as digits as its factorization.

72142393 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 9072, while the sum is 31.

The square root of 72142393 is about 8493.6678178511. The cubic root of 72142393 is about 416.2908334382.

The spelling of 72142393 in words is "seventy-two million, one hundred forty-two thousand, three hundred ninety-three".