4587072 has 56 divisors (see below), whose sum is σ = 13874496. Its totient is φ = 1310208.

The previous prime is 4587067. The next prime is 4587103. The reversal of 4587072 is 2707854.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is an alternating number because its digits alternate between even and odd.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 363 + ... + 3050.

Almost surely, 2^4587072 is an apocalyptic number.

4587072 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4587072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6937248).

4587072 is an abundant number, since it is smaller than the sum of its proper divisors (9287424).

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

4587072 is a wasteful number, since it uses less digits than its factorization.

4587072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3435 (or 3425 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 33.

The square root of 4587072 is about 2141.7450828705. The cubic root of 4587072 is about 166.1544022351.

The spelling of 4587072 in words is "four million, five hundred eighty-seven thousand, seventy-two".