72577273 has 2 divisors, whose sum is σ = 72577274. Its totient is φ = 72577272.

The previous prime is 72577247. The next prime is 72577279. The reversal of 72577273 is 37277527.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 72131049 + 446224 = 8493^2 + 668^2 .

It is a cyclic number.

It is not a de Polignac number, because 72577273 - 2¹⁷ = 72446201 is a prime.

It is a super-2 number, since 2×72577273² = 10534921112233058, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (72577279) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36288636 + 36288637.

It is an arithmetic number, because the mean of its divisors is an integer number (36288637).

Almost surely, 2^72577273 is an apocalyptic number.

It is an amenable number.

72577273 is a deficient number, since it is larger than the sum of its proper divisors (1).

72577273 is an equidigital number, since it uses as much as digits as its factorization.

72577273 is an evil number, because the sum of its binary digits is even.

The product of its digits is 144060, while the sum is 40.

The square root of 72577273 is about 8519.2296013196. The cubic root of 72577273 is about 417.1256361849.

The spelling of 72577273 in words is "seventy-two million, five hundred seventy-seven thousand, two hundred seventy-three".