72977 has 2 divisors, whose sum is σ = 72978. Its totient is φ = 72976.

The previous prime is 72973. The next prime is 72997. The reversal of 72977 is 77927.

72977 is nontrivially palindromic in base 16.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 50176 + 22801 = 224^2 + 151^2 .

It is a cyclic number.

It is not a de Polignac number, because 72977 - 2² = 72973 is a prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 72977.

It is not a weakly prime, because it can be changed into another prime (72973) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36488 + 36489.

It is an arithmetic number, because the mean of its divisors is an integer number (36489).

2⁷²⁹⁷⁷ is an apocalyptic number.

It is an amenable number.

72977 is a deficient number, since it is larger than the sum of its proper divisors (1).

72977 is an equidigital number, since it uses as much as digits as its factorization.

72977 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6174, while the sum is 32.

The square root of 72977 is about 270.1425549594. The cubic root of 72977 is about 41.7890022424.

Subtracting 72977 from its reverse (77927), we obtain a triangular number (4950 = T₉₉).

The spelling of 72977 in words is "seventy-two thousand, nine hundred seventy-seven".