47823072 has 144 divisors (see below), whose sum is σ = 144789120. Its totient is φ = 13784320.

The previous prime is 47823071. The next prime is 47823073. The reversal of 47823072 is 27032874.

47823072 = T₉₃₃ + T₉₃₄ + ... + T₁₀₃₁.

47823072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (47823071) and next prime (47823073).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47823071) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 267079 + ... + 267257.

It is an arithmetic number, because the mean of its divisors is an integer number (1005480).

Almost surely, 2^47823072 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 47823072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72394560).

47823072 is an abundant number, since it is smaller than the sum of its proper divisors (96966048).

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

47823072 is a wasteful number, since it uses less digits than its factorization.

47823072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 33.

The square root of 47823072 is about 6915.4227636494. The cubic root of 47823072 is about 362.9770417069.

The spelling of 47823072 in words is "forty-seven million, eight hundred twenty-three thousand, seventy-two".