72416064 has 56 divisors (see below), whose sum is σ = 218976448. Its totient is φ = 20689920.

The previous prime is 72416059. The next prime is 72416077. The reversal of 72416064 is 46061427.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 25597 + ... + 28284.

Almost surely, 2^72416064 is an apocalyptic number.

It is an amenable number.

72416064 is an abundant number, since it is smaller than the sum of its proper divisors (146560384).

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

72416064 is a wasteful number, since it uses less digits than its factorization.

72416064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53903 (or 53893 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 72416064 is about 8509.7628639111. The cubic root of 72416064 is about 416.8165667232.

The spelling of 72416064 in words is "seventy-two million, four hundred sixteen thousand, sixty-four".