72508273 has 2 divisors, whose sum is σ = 72508274. Its totient is φ = 72508272.

The previous prime is 72508201. The next prime is 72508291. The reversal of 72508273 is 37280527.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 56130064 + 16378209 = 7492^2 + 4047^2 .

It is a cyclic number.

It is not a de Polignac number, because 72508273 - 2¹³ = 72500081 is a prime.

It is not a weakly prime, because it can be changed into another prime (72508573) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36254136 + 36254137.

It is an arithmetic number, because the mean of its divisors is an integer number (36254137).

Almost surely, 2^72508273 is an apocalyptic number.

It is an amenable number.

72508273 is a deficient number, since it is larger than the sum of its proper divisors (1).

72508273 is an equidigital number, since it uses as much as digits as its factorization.

72508273 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 23520, while the sum is 34.

The square root of 72508273 is about 8515.1789763927. The cubic root of 72508273 is about 416.9934056507.

The spelling of 72508273 in words is "seventy-two million, five hundred eight thousand, two hundred seventy-three".