72193873 has 2 divisors, whose sum is σ = 72193874. Its totient is φ = 72193872.

The previous prime is 72193859. The next prime is 72193879. The reversal of 72193873 is 37839127.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 64448784 + 7745089 = 8028^2 + 2783^2 .

It is a cyclic number.

It is not a de Polignac number, because 72193873 - 2²⁵ = 38639441 is a prime.

It is not a weakly prime, because it can be changed into another prime (72193879) 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, 36096936 + 36096937.

It is an arithmetic number, because the mean of its divisors is an integer number (36096937).

Almost surely, 2^72193873 is an apocalyptic number.

It is an amenable number.

72193873 is a deficient number, since it is larger than the sum of its proper divisors (1).

72193873 is an equidigital number, since it uses as much as digits as its factorization.

72193873 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 63504, while the sum is 40.

The square root of 72193873 is about 8496.6977703105. The cubic root of 72193873 is about 416.3898300461.

The spelling of 72193873 in words is "seventy-two million, one hundred ninety-three thousand, eight hundred seventy-three".