72873233 has 2 divisors, whose sum is σ = 72873234. Its totient is φ = 72873232.

The previous prime is 72873211. The next prime is 72873247. The reversal of 72873233 is 33237827.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 70274689 + 2598544 = 8383^2 + 1612^2 .

It is a cyclic number.

It is not a de Polignac number, because 72873233 - 2⁸ = 72872977 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 72873193 and 72873202.

It is not a weakly prime, because it can be changed into another prime (72873293) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36436616 + 36436617.

It is an arithmetic number, because the mean of its divisors is an integer number (36436617).

Almost surely, 2^72873233 is an apocalyptic number.

It is an amenable number.

72873233 is a deficient number, since it is larger than the sum of its proper divisors (1).

72873233 is an equidigital number, since it uses as much as digits as its factorization.

72873233 is an evil number, because the sum of its binary digits is even.

The product of its digits is 42336, while the sum is 35.

The square root of 72873233 is about 8536.5820443548. The cubic root of 72873233 is about 417.6918606147.

The spelling of 72873233 in words is "seventy-two million, eight hundred seventy-three thousand, two hundred thirty-three".