72055809 has 48 divisors (see below), whose sum is σ = 132612480. Its totient is φ = 36702720.

The previous prime is 72055787. The next prime is 72055889. The reversal of 72055809 is 90855027.

72055809 is a `hidden beast` number, since 72 + 0 + 5 + 580 + 9 = 666.

It is not a de Polignac number, because 72055809 - 2⁵ = 72055777 is a prime.

It is a super-2 number, since 2×72055809² = 10384079221288962, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (72055889) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18579 + ... + 22119.

It is an arithmetic number, because the mean of its divisors is an integer number (2762760).

Almost surely, 2^72055809 is an apocalyptic number.

It is an amenable number.

72055809 is a deficient number, since it is larger than the sum of its proper divisors (60556671).

72055809 is a wasteful number, since it uses less digits than its factorization.

72055809 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3590 (or 3587 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 72055809 is about 8488.5693140835. The cubic root of 72055809 is about 416.1242251816.

The spelling of 72055809 in words is "seventy-two million, fifty-five thousand, eight hundred nine".