80072577 has 16 divisors (see below), whose sum is σ = 127751680. Its totient is φ = 49275216.

The previous prime is 80072563. The next prime is 80072651. The reversal of 80072577 is 77527008.

80072577 is a `hidden beast` number, since 80 + 0 + 7 + 2 + 577 = 666.

It is not a de Polignac number, because 80072577 - 2⁴ = 80072561 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (80072557) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 113713 + ... + 114414.

It is an arithmetic number, because the mean of its divisors is an integer number (7984480).

Almost surely, 2^80072577 is an apocalyptic number.

It is an amenable number.

80072577 is a deficient number, since it is larger than the sum of its proper divisors (47679103).

80072577 is a wasteful number, since it uses less digits than its factorization.

80072577 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228149 (or 228143 counting only the distinct ones).

The product of its (nonzero) digits is 27440, while the sum is 36.

The square root of 80072577 is about 8948.3281678758. The cubic root of 80072577 is about 431.0172006278.

The spelling of 80072577 in words is "eighty million, seventy-two thousand, five hundred seventy-seven".