43385472 has 96 divisors (see below), whose sum is σ = 134496180. Its totient is φ = 13344768.

The previous prime is 43385467. The next prime is 43385477. The reversal of 43385472 is 27458334.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (43385467) and next prime (43385477).

It can be written as a sum of positive squares in 2 ways, for example, as 36288576 + 7096896 = 6024^2 + 2664^2 .

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (43385477) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13528 + ... + 16424.

Almost surely, 2^43385472 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 43385472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67248090).

43385472 is an abundant number, since it is smaller than the sum of its proper divisors (91110708).

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

43385472 is a wasteful number, since it uses less digits than its factorization.

43385472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2930 (or 2915 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 43385472 is about 6586.7649115480. The cubic root of 43385472 is about 351.3835629733.

It can be divided in two parts, 433 and 85472, that added together give a triangular number (85905 = T₄₁₄).

The spelling of 43385472 in words is "forty-three million, three hundred eighty-five thousand, four hundred seventy-two".