844650072 has 128 divisors (see below), whose sum is σ = 2708467200. Its totient is φ = 238896000.

The previous prime is 844650043. The next prime is 844650167. The reversal of 844650072 is 270056448.

844650072 is a `hidden beast` number, since 84 + 4 + 6 + 500 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 149947 + ... + 155477.

It is an arithmetic number, because the mean of its divisors is an integer number (21159900).

Almost surely, 2^844650072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 844650072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1354233600).

844650072 is an abundant number, since it is smaller than the sum of its proper divisors (1863817128).

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

844650072 is a wasteful number, since it uses less digits than its factorization.

844650072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5654 (or 5644 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 844650072 is about 29062.8641396542. The cubic root of 844650072 is about 945.2766738386.

The spelling of 844650072 in words is "eight hundred forty-four million, six hundred fifty thousand, seventy-two".