72206144 has 28 divisors (see below), whose sum is σ = 143836644. Its totient is φ = 35963904.

The previous prime is 72206119. The next prime is 72206179. The reversal of 72206144 is 44160227.

It can be written as a sum of positive squares in 2 ways, for example, as 9985600 + 62220544 = 3160^2 + 7888^2 .

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 3 ways as a sum of consecutive naturals, for example, 15692 + ... + 19764.

It is an arithmetic number, because the mean of its divisors is an integer number (5137023).

Almost surely, 2^72206144 is an apocalyptic number.

It is an amenable number.

72206144 is a deficient number, since it is larger than the sum of its proper divisors (71630500).

72206144 is a wasteful number, since it uses less digits than its factorization.

72206144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4362 (or 4352 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 26.

The square root of 72206144 is about 8497.4198436937. The cubic root of 72206144 is about 416.4134203681.

The spelling of 72206144 in words is "seventy-two million, two hundred six thousand, one hundred forty-four".