72100229 has 2 divisors, whose sum is σ = 72100230. Its totient is φ = 72100228.

The previous prime is 72100199. The next prime is 72100261. The reversal of 72100229 is 92200127.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 56220004 + 15880225 = 7498^2 + 3985^2 .

It is a cyclic number.

It is not a de Polignac number, because 72100229 - 2²⁴ = 55323013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72100289) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36050114 + 36050115.

It is an arithmetic number, because the mean of its divisors is an integer number (36050115).

Almost surely, 2^72100229 is an apocalyptic number.

It is an amenable number.

72100229 is a deficient number, since it is larger than the sum of its proper divisors (1).

72100229 is an equidigital number, since it uses as much as digits as its factorization.

72100229 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 504, while the sum is 23.

The square root of 72100229 is about 8491.1853707242. The cubic root of 72100229 is about 416.2097165127.

The spelling of 72100229 in words is "seventy-two million, one hundred thousand, two hundred twenty-nine".