65772005 has 16 divisors (see below), whose sum is σ = 85503600. Its totient is φ = 48281088.

The previous prime is 65771947. The next prime is 65772013. The reversal of 65772005 is 50027756.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 776161 + 64995844 = 881^2 + 8062^2 .

It is a cyclic number.

It is not a de Polignac number, because 65772005 - 2²⁰ = 64723429 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8321 + ... + 14169.

It is an arithmetic number, because the mean of its divisors is an integer number (5343975).

Almost surely, 2^65772005 is an apocalyptic number.

65772005 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

65772005 is a deficient number, since it is larger than the sum of its proper divisors (19731595).

65772005 is a wasteful number, since it uses less digits than its factorization.

65772005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6040.

The product of its (nonzero) digits is 14700, while the sum is 32.

The square root of 65772005 is about 8109.9941430312. The cubic root of 65772005 is about 403.6581204854.

The spelling of 65772005 in words is "sixty-five million, seven hundred seventy-two thousand, five".