72547133 has 2 divisors, whose sum is σ = 72547134. Its totient is φ = 72547132.

The previous prime is 72547091. The next prime is 72547147. The reversal of 72547133 is 33174527.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 72369049 + 178084 = 8507^2 + 422^2 .

It is a cyclic number.

It is not a de Polignac number, because 72547133 - 2¹⁴ = 72530749 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 72547133.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72547633) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36273566 + 36273567.

It is an arithmetic number, because the mean of its divisors is an integer number (36273567).

Almost surely, 2^72547133 is an apocalyptic number.

It is an amenable number.

72547133 is a deficient number, since it is larger than the sum of its proper divisors (1).

72547133 is an equidigital number, since it uses as much as digits as its factorization.

72547133 is an evil number, because the sum of its binary digits is even.

The product of its digits is 17640, while the sum is 32.

The square root of 72547133 is about 8517.4604783351. The cubic root of 72547133 is about 417.0678866678.

The spelling of 72547133 in words is "seventy-two million, five hundred forty-seven thousand, one hundred thirty-three".