72864011 has 8 divisors (see below), whose sum is σ = 81427248. Its totient is φ = 64624000.

The previous prime is 72863983. The next prime is 72864061. The reversal of 72864011 is 11046827.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 72864011 - 2¹⁴ = 72847627 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72864061) 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 7 ways as a sum of consecutive naturals, for example, 80330 + ... + 81231.

It is an arithmetic number, because the mean of its divisors is an integer number (10178406).

Almost surely, 2^72864011 is an apocalyptic number.

72864011 is a deficient number, since it is larger than the sum of its proper divisors (8563237).

72864011 is a wasteful number, since it uses less digits than its factorization.

72864011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161613.

The product of its (nonzero) digits is 2688, while the sum is 29.

The square root of 72864011 is about 8536.0418813406. The cubic root of 72864011 is about 417.6742404420.

The spelling of 72864011 in words is "seventy-two million, eight hundred sixty-four thousand, eleven".