72193193 has 2 divisors, whose sum is σ = 72193194. Its totient is φ = 72193192.

The previous prime is 72193171. The next prime is 72193201. The reversal of 72193193 is 39139127.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 65983129 + 6210064 = 8123^2 + 2492^2 .

It is a cyclic number.

It is not a de Polignac number, because 72193193 - 2⁶ = 72193129 is a prime.

It is not a weakly prime, because it can be changed into another prime (72193393) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36096596 + 36096597.

It is an arithmetic number, because the mean of its divisors is an integer number (36096597).

Almost surely, 2^72193193 is an apocalyptic number.

It is an amenable number.

72193193 is a deficient number, since it is larger than the sum of its proper divisors (1).

72193193 is an equidigital number, since it uses as much as digits as its factorization.

72193193 is an evil number, because the sum of its binary digits is even.

The product of its digits is 10206, while the sum is 35.

The square root of 72193193 is about 8496.6577546704. The cubic root of 72193193 is about 416.3885227053.

The spelling of 72193193 in words is "seventy-two million, one hundred ninety-three thousand, one hundred ninety-three".