72584106 has 16 divisors (see below), whose sum is σ = 165906624. Its totient is φ = 20738304.

The previous prime is 72584093. The next prime is 72584111. The reversal of 72584106 is 60148527.

It is an unprimeable number.

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, 864055 + ... + 864138.

It is an arithmetic number, because the mean of its divisors is an integer number (10369164).

Almost surely, 2^72584106 is an apocalyptic number.

72584106 is an abundant number, since it is smaller than the sum of its proper divisors (93322518).

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

72584106 is a wasteful number, since it uses less digits than its factorization.

72584106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1728205.

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 72584106 is about 8519.6306257959. The cubic root of 72584106 is about 417.1387262791.

The spelling of 72584106 in words is "seventy-two million, five hundred eighty-four thousand, one hundred six".