72193203 has 36 divisors (see below), whose sum is σ = 114322104. Its totient is φ = 43747200.

The previous prime is 72193201. The next prime is 72193213. The reversal of 72193203 is 30239127.

It is not a de Polignac number, because 72193203 - 2¹ = 72193201 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72193201) 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 in 35 ways as a sum of consecutive naturals, for example, 146788 + ... + 147278.

It is an arithmetic number, because the mean of its divisors is an integer number (3175614).

Almost surely, 2^72193203 is an apocalyptic number.

72193203 is a deficient number, since it is larger than the sum of its proper divisors (42128901).

72193203 is a wasteful number, since it uses less digits than its factorization.

72193203 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 72193203 is about 8496.6583431370. The cubic root of 72193203 is about 416.3885419310.

The spelling of 72193203 in words is "seventy-two million, one hundred ninety-three thousand, two hundred three".