72064116 has 36 divisors (see below), whose sum is σ = 184475200. Its totient is φ = 23716368.

The previous prime is 72064081. The next prime is 72064117. The reversal of 72064116 is 61146027.

72064116 is a `hidden beast` number, since 7 + 2 + 0 + 641 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×72064116² = 10386473629722912, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 72064116.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72064117) 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 11 ways as a sum of consecutive naturals, for example, 9826 + ... + 15513.

Almost surely, 2^72064116 is an apocalyptic number.

It is an amenable number.

72064116 is an abundant number, since it is smaller than the sum of its proper divisors (112411084).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72064116 is a wasteful number, since it uses less digits than its factorization.

72064116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25428 (or 25423 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 72064116 is about 8489.0586050516. The cubic root of 72064116 is about 416.1402156162.

The spelling of 72064116 in words is "seventy-two million, sixty-four thousand, one hundred sixteen".