72277 has 2 divisors, whose sum is σ = 72278. Its totient is φ = 72276.

The previous prime is 72271. The next prime is 72287. The reversal of 72277 is 77227.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 70756 + 1521 = 266^2 + 39^2 .

It is a cyclic number.

It is not a de Polignac number, because 72277 - 2³ = 72269 is a prime.

72277 is a lucky number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 72277.

It is not a weakly prime, because it can be changed into another prime (72271) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36138 + 36139.

It is an arithmetic number, because the mean of its divisors is an integer number (36139).

2⁷²²⁷⁷ is an apocalyptic number.

It is an amenable number.

72277 is a deficient number, since it is larger than the sum of its proper divisors (1).

72277 is an equidigital number, since it uses as much as digits as its factorization.

72277 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1372, while the sum is 25.

The square root of 72277 is about 268.8438208328. The cubic root of 72277 is about 41.6549584881.

Subtracting 72277 from its reverse (77227), we obtain a triangular number (4950 = T₉₉).

The spelling of 72277 in words is "seventy-two thousand, two hundred seventy-seven", and thus it is an iban number.