4072664 has 16 divisors (see below), whose sum is σ = 7843200. Its totient is φ = 1981152.

The previous prime is 4072661. The next prime is 4072667. The reversal of 4072664 is 4662704.

4072664 = 497² + 498² + ... + 512².

4072664 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 (4072661) and next prime (4072667).

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4072661) by changing a digit.

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, 6584 + ... + 7175.

It is an arithmetic number, because the mean of its divisors is an integer number (490200).

Almost surely, 2^4072664 is an apocalyptic number.

It is an amenable number.

4072664 is a deficient number, since it is larger than the sum of its proper divisors (3770536).

4072664 is a wasteful number, since it uses less digits than its factorization.

4072664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13802 (or 13798 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 29.

The square root of 4072664 is about 2018.0842400653. The cubic root of 4072664 is about 159.6955669540.

The spelling of 4072664 in words is "four million, seventy-two thousand, six hundred sixty-four".