72056233 has 2 divisors, whose sum is σ = 72056234. Its totient is φ = 72056232.

The previous prime is 72056191. The next prime is 72056239. The reversal of 72056233 is 33265027.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 44462224 + 27594009 = 6668^2 + 5253^2 .

It is a cyclic number.

It is not a de Polignac number, because 72056233 - 2²¹ = 69959081 is a prime.

It is not a weakly prime, because it can be changed into another prime (72056239) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36028116 + 36028117.

It is an arithmetic number, because the mean of its divisors is an integer number (36028117).

Almost surely, 2^72056233 is an apocalyptic number.

It is an amenable number.

72056233 is a deficient number, since it is larger than the sum of its proper divisors (1).

72056233 is an equidigital number, since it uses as much as digits as its factorization.

72056233 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7560, while the sum is 28.

The square root of 72056233 is about 8488.5942888090. The cubic root of 72056233 is about 416.1250413838.

It can be divided in two parts, 720 and 56233, that added together give a triangular number (56953 = T₃₃₇).

The spelling of 72056233 in words is "seventy-two million, fifty-six thousand, two hundred thirty-three".