72753281 has 2 divisors, whose sum is σ = 72753282. Its totient is φ = 72753280.

The previous prime is 72753271. The next prime is 72753283. The reversal of 72753281 is 18235727.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 64963600 + 7789681 = 8060^2 + 2791^2 .

It is an emirp because it is prime and its reverse (18235727) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 72753281 - 2²⁶ = 5644417 is a prime.

It is a super-2 number, since 2×72753281² = 10586079792529922, which contains 22 as substring.

Together with 72753283, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (72753283) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36376640 + 36376641.

It is an arithmetic number, because the mean of its divisors is an integer number (36376641).

Almost surely, 2^72753281 is an apocalyptic number.

It is an amenable number.

72753281 is a deficient number, since it is larger than the sum of its proper divisors (1).

72753281 is an equidigital number, since it uses as much as digits as its factorization.

72753281 is an evil number, because the sum of its binary digits is even.

The product of its digits is 23520, while the sum is 35.

The square root of 72753281 is about 8529.5533880737. The cubic root of 72753281 is about 417.4625560739.

The spelling of 72753281 in words is "seventy-two million, seven hundred fifty-three thousand, two hundred eighty-one".