72088672 has 24 divisors (see below), whose sum is σ = 142288272. Its totient is φ = 35952000.

The previous prime is 72088663. The next prime is 72088673. The reversal of 72088672 is 27688027.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72088673) 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 3 ways as a sum of consecutive naturals, for example, 10797 + ... + 16147.

It is an arithmetic number, because the mean of its divisors is an integer number (5928678).

Almost surely, 2^72088672 is an apocalyptic number.

It is an amenable number.

72088672 is a deficient number, since it is larger than the sum of its proper divisors (70199600).

72088672 is a wasteful number, since it uses less digits than its factorization.

72088672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5782 (or 5774 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 40.

The square root of 72088672 is about 8490.5048142027. The cubic root of 72088672 is about 416.1874771348.

The spelling of 72088672 in words is "seventy-two million, eighty-eight thousand, six hundred seventy-two".