72582077 has 2 divisors, whose sum is σ = 72582078. Its totient is φ = 72582076.

The previous prime is 72582031. The next prime is 72582079. The reversal of 72582077 is 77028527.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 64224196 + 8357881 = 8014^2 + 2891^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-72582077 is a prime.

Together with 72582079, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 72582077.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72582079) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36291038 + 36291039.

It is an arithmetic number, because the mean of its divisors is an integer number (36291039).

Almost surely, 2^72582077 is an apocalyptic number.

It is an amenable number.

72582077 is a deficient number, since it is larger than the sum of its proper divisors (1).

72582077 is an equidigital number, since it uses as much as digits as its factorization.

72582077 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 54880, while the sum is 38.

The square root of 72582077 is about 8519.5115470313. The cubic root of 72582077 is about 417.1348393751.

The spelling of 72582077 in words is "seventy-two million, five hundred eighty-two thousand, seventy-seven".