72933121 has 2 divisors, whose sum is σ = 72933122. Its totient is φ = 72933120.

The previous prime is 72933109. The next prime is 72933131. The reversal of 72933121 is 12133927.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 72931600 + 1521 = 8540^2 + 39^2 .

It is a cyclic number.

It is not a de Polignac number, because 72933121 - 2⁵ = 72933089 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 72933121.

It is not a weakly prime, because it can be changed into another prime (72933131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36466560 + 36466561.

It is an arithmetic number, because the mean of its divisors is an integer number (36466561).

Almost surely, 2^72933121 is an apocalyptic number.

It is an amenable number.

72933121 is a deficient number, since it is larger than the sum of its proper divisors (1).

72933121 is an equidigital number, since it uses as much as digits as its factorization.

72933121 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2268, while the sum is 28.

The square root of 72933121 is about 8540.0890510580. The cubic root of 72933121 is about 417.8062504932.

The spelling of 72933121 in words is "seventy-two million, nine hundred thirty-three thousand, one hundred twenty-one".