72262133 has 2 divisors, whose sum is σ = 72262134. Its totient is φ = 72262132.

The previous prime is 72262123. The next prime is 72262139. The reversal of 72262133 is 33126227.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 69189124 + 3073009 = 8318^2 + 1753^2 .

It is a cyclic number.

It is not a de Polignac number, because 72262133 - 2⁴ = 72262117 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72262139) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36131066 + 36131067.

It is an arithmetic number, because the mean of its divisors is an integer number (36131067).

Almost surely, 2^72262133 is an apocalyptic number.

It is an amenable number.

72262133 is a deficient number, since it is larger than the sum of its proper divisors (1).

72262133 is an equidigital number, since it uses as much as digits as its factorization.

72262133 is an evil number, because the sum of its binary digits is even.

The product of its digits is 3024, while the sum is 26.

The square root of 72262133 is about 8500.7136759216. The cubic root of 72262133 is about 416.5210222342.

The spelling of 72262133 in words is "seventy-two million, two hundred sixty-two thousand, one hundred thirty-three".