72257233 has 2 divisors, whose sum is σ = 72257234. Its totient is φ = 72257232.

The previous prime is 72257173. The next prime is 72257279. The reversal of 72257233 is 33275227.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 70845889 + 1411344 = 8417^2 + 1188^2 .

It is a cyclic number.

It is not a de Polignac number, because 72257233 - 2²⁵ = 38702801 is a prime.

It is a super-2 number, since 2×72257233² = 10442215441632578, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 72257195 and 72257204.

It is not a weakly prime, because it can be changed into another prime (72257333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36128616 + 36128617.

It is an arithmetic number, because the mean of its divisors is an integer number (36128617).

Almost surely, 2^72257233 is an apocalyptic number.

It is an amenable number.

72257233 is a deficient number, since it is larger than the sum of its proper divisors (1).

72257233 is an equidigital number, since it uses as much as digits as its factorization.

72257233 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 17640, while the sum is 31.

The square root of 72257233 is about 8500.4254599402. The cubic root of 72257233 is about 416.5116074409.

It can be divided in two parts, 7 and 2257233, that multiplied together give a triangular number (15800631 = T₅₆₂₁).

The spelling of 72257233 in words is "seventy-two million, two hundred fifty-seven thousand, two hundred thirty-three".