72306233 has 2 divisors, whose sum is σ = 72306234. Its totient is φ = 72306232.

The previous prime is 72306173. The next prime is 72306239. The reversal of 72306233 is 33260327.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 48958009 + 23348224 = 6997^2 + 4832^2 .

It is an emirp because it is prime and its reverse (33260327) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 72306233 - 2¹⁰ = 72305209 is a prime.

It is not a weakly prime, because it can be changed into another prime (72306239) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36153116 + 36153117.

It is an arithmetic number, because the mean of its divisors is an integer number (36153117).

Almost surely, 2^72306233 is an apocalyptic number.

It is an amenable number.

72306233 is a deficient number, since it is larger than the sum of its proper divisors (1).

72306233 is an equidigital number, since it uses as much as digits as its factorization.

72306233 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4536, while the sum is 26.

The square root of 72306233 is about 8503.3071801506. The cubic root of 72306233 is about 416.6057362282.

The spelling of 72306233 in words is "seventy-two million, three hundred six thousand, two hundred thirty-three".