72733301 has 2 divisors, whose sum is σ = 72733302. Its totient is φ = 72733300.

The previous prime is 72733277. The next prime is 72733333. The reversal of 72733301 is 10333727.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 55502500 + 17230801 = 7450^2 + 4151^2 .

It is an emirp because it is prime and its reverse (10333727) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 72733301 - 2²² = 68538997 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72733901) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36366650 + 36366651.

It is an arithmetic number, because the mean of its divisors is an integer number (36366651).

Almost surely, 2^72733301 is an apocalyptic number.

It is an amenable number.

72733301 is a deficient number, since it is larger than the sum of its proper divisors (1).

72733301 is an equidigital number, since it uses as much as digits as its factorization.

72733301 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2646, while the sum is 26.

The square root of 72733301 is about 8528.3820857183. The cubic root of 72733301 is about 417.4243371079.

The spelling of 72733301 in words is "seventy-two million, seven hundred thirty-three thousand, three hundred one".