72585977 has 2 divisors, whose sum is σ = 72585978. Its totient is φ = 72585976.

The previous prime is 72585959. The next prime is 72585979. The reversal of 72585977 is 77958527.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 69572281 + 3013696 = 8341^2 + 1736^2 .

It is a cyclic number.

It is not a de Polignac number, because 72585977 - 2¹⁴ = 72569593 is a prime.

Together with 72585979, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (72585979) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36292988 + 36292989.

It is an arithmetic number, because the mean of its divisors is an integer number (36292989).

Almost surely, 2^72585977 is an apocalyptic number.

It is an amenable number.

72585977 is a deficient number, since it is larger than the sum of its proper divisors (1).

72585977 is an equidigital number, since it uses as much as digits as its factorization.

72585977 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1234800, while the sum is 50.

The square root of 72585977 is about 8519.7404303183. The cubic root of 72585977 is about 417.1423104424.

The spelling of 72585977 in words is "seventy-two million, five hundred eighty-five thousand, nine hundred seventy-seven".