4073472 has 144 divisors (see below), whose sum is σ = 13415220. Its totient is φ = 1179648.

The previous prime is 4073453. The next prime is 4073491. The reversal of 4073472 is 2743704.

It is an interprime number because it is at equal distance from previous prime (4073453) and next prime (4073491).

It can be written as a sum of positive squares in 2 ways, for example, as 4064256 + 9216 = 2016^2 + 96^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

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, 239608 + ... + 239624.

Almost surely, 2^4073472 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 4073472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6707610).

4073472 is an abundant number, since it is smaller than the sum of its proper divisors (9341748).

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

4073472 is a wasteful number, since it uses less digits than its factorization.

4073472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 27.

The square root of 4073472 is about 2018.2844199963. The cubic root of 4073472 is about 159.7061272396.

The spelling of 4073472 in words is "four million, seventy-three thousand, four hundred seventy-two".