72349993 has 2 divisors, whose sum is σ = 72349994. Its totient is φ = 72349992.

The previous prime is 72349933. The next prime is 72350009. The reversal of 72349993 is 39994327.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 42614784 + 29735209 = 6528^2 + 5453^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-72349993 is a prime.

It is not a weakly prime, because it can be changed into another prime (72349903) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36174996 + 36174997.

It is an arithmetic number, because the mean of its divisors is an integer number (36174997).

Almost surely, 2^72349993 is an apocalyptic number.

It is an amenable number.

72349993 is a deficient number, since it is larger than the sum of its proper divisors (1).

72349993 is an equidigital number, since it uses as much as digits as its factorization.

72349993 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 367416, while the sum is 46.

The square root of 72349993 is about 8505.8799074523. The cubic root of 72349993 is about 416.6897630575.

The spelling of 72349993 in words is "seventy-two million, three hundred forty-nine thousand, nine hundred ninety-three".