72193201 has 2 divisors, whose sum is σ = 72193202. Its totient is φ = 72193200.

The previous prime is 72193193. The next prime is 72193213. The reversal of 72193201 is 10239127.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 43560000 + 28633201 = 6600^2 + 5351^2 .

It is a cyclic number.

It is not a de Polignac number, because 72193201 - 2³ = 72193193 is a prime.

It is not a weakly prime, because it can be changed into another prime (72193241) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36096600 + 36096601.

It is an arithmetic number, because the mean of its divisors is an integer number (36096601).

Almost surely, 2^72193201 is an apocalyptic number.

It is an amenable number.

72193201 is a deficient number, since it is larger than the sum of its proper divisors (1).

72193201 is an equidigital number, since it uses as much as digits as its factorization.

72193201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 756, while the sum is 25.

The square root of 72193201 is about 8496.6582254437. The cubic root of 72193201 is about 416.3885380859.

The spelling of 72193201 in words is "seventy-two million, one hundred ninety-three thousand, two hundred one".