72081584 has 10 divisors (see below), whose sum is σ = 139658100. Its totient is φ = 36040784.

The previous prime is 72081557. The next prime is 72081589. The reversal of 72081584 is 48518027.

It is not an unprimeable number, because it can be changed into a prime (72081589) 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 as a sum of consecutive naturals, namely, 2252534 + ... + 2252565.

It is an arithmetic number, because the mean of its divisors is an integer number (13965810).

Almost surely, 2^72081584 is an apocalyptic number.

It is an amenable number.

72081584 is a deficient number, since it is larger than the sum of its proper divisors (67576516).

72081584 is a wasteful number, since it uses less digits than its factorization.

72081584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4505107 (or 4505101 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 35.

The square root of 72081584 is about 8490.0873964877. The cubic root of 72081584 is about 416.1738363715.

The spelling of 72081584 in words is "seventy-two million, eighty-one thousand, five hundred eighty-four".