72024289 has 2 divisors, whose sum is σ = 72024290. Its totient is φ = 72024288.

The previous prime is 72024203. The next prime is 72024341. The reversal of 72024289 is 98242027.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 59830225 + 12194064 = 7735^2 + 3492^2 .

It is a cyclic number.

It is not a de Polignac number, because 72024289 - 2²⁵ = 38469857 is a prime.

It is not a weakly prime, because it can be changed into another prime (72024389) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36012144 + 36012145.

It is an arithmetic number, because the mean of its divisors is an integer number (36012145).

Almost surely, 2^72024289 is an apocalyptic number.

It is an amenable number.

72024289 is a deficient number, since it is larger than the sum of its proper divisors (1).

72024289 is an equidigital number, since it uses as much as digits as its factorization.

72024289 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 72024289 is about 8486.7124966031. The cubic root of 72024289 is about 416.0635400509.

The spelling of 72024289 in words is "seventy-two million, twenty-four thousand, two hundred eighty-nine".