72306849 has 16 divisors (see below), whose sum is σ = 100044800. Its totient is φ = 46403280.

The previous prime is 72306841. The next prime is 72306859. The reversal of 72306849 is 94860327.

It is not a de Polignac number, because 72306849 - 2³ = 72306841 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (72306841) 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 15 ways as a sum of consecutive naturals, for example, 16554 + ... + 20460.

It is an arithmetic number, because the mean of its divisors is an integer number (6252800).

Almost surely, 2^72306849 is an apocalyptic number.

It is an amenable number.

72306849 is a deficient number, since it is larger than the sum of its proper divisors (27737951).

72306849 is a wasteful number, since it uses less digits than its factorization.

72306849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4140.

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 72306849 is about 8503.3434012746. The cubic root of 72306849 is about 416.6069192908.

The spelling of 72306849 in words is "seventy-two million, three hundred six thousand, eight hundred forty-nine".