72100493 has 2 divisors, whose sum is σ = 72100494. Its totient is φ = 72100492.

The previous prime is 72100481. The next prime is 72100529. The reversal of 72100493 is 39400127.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 67947049 + 4153444 = 8243^2 + 2038^2 .

It is a cyclic number.

It is not a de Polignac number, because 72100493 - 2¹² = 72096397 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72100393) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36050246 + 36050247.

It is an arithmetic number, because the mean of its divisors is an integer number (36050247).

Almost surely, 2^72100493 is an apocalyptic number.

It is an amenable number.

72100493 is a deficient number, since it is larger than the sum of its proper divisors (1).

72100493 is an equidigital number, since it uses as much as digits as its factorization.

72100493 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1512, while the sum is 26.

The square root of 72100493 is about 8491.2009162426. The cubic root of 72100493 is about 416.2102245057.

The spelling of 72100493 in words is "seventy-two million, one hundred thousand, four hundred ninety-three".