72106844 has 12 divisors (see below), whose sum is σ = 126264600. Its totient is φ = 36031248.

The previous prime is 72106841. The next prime is 72106849. The reversal of 72106844 is 44860127.

It is a self number, because there is not a number n which added to its sum of digits gives 72106844.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72106841) 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 in 3 ways as a sum of consecutive naturals, for example, 3362 + ... + 12470.

It is an arithmetic number, because the mean of its divisors is an integer number (10522050).

Almost surely, 2^72106844 is an apocalyptic number.

It is an amenable number.

72106844 is a deficient number, since it is larger than the sum of its proper divisors (54157756).

72106844 is a wasteful number, since it uses less digits than its factorization.

72106844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11092 (or 11090 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The square root of 72106844 is about 8491.5748833771. The cubic root of 72106844 is about 416.2224448268. Note that the first 3 decimals are identical.

The spelling of 72106844 in words is "seventy-two million, one hundred six thousand, eight hundred forty-four".