3587072 has 44 divisors (see below), whose sum is σ = 7467456. Its totient is φ = 1720320.

The previous prime is 3587021. The next prime is 3587099. The reversal of 3587072 is 2707853.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 31688 + ... + 31800.

Almost surely, 2^3587072 is an apocalyptic number.

3587072 is a gapful number since it is divisible by the number (32) 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 3587072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3733728).

3587072 is an abundant number, since it is smaller than the sum of its proper divisors (3880384).

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

3587072 is a wasteful number, since it uses less digits than its factorization.

3587072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 32.

The square root of 3587072 is about 1893.9567048906. The cubic root of 3587072 is about 153.0782062764.

The spelling of 3587072 in words is "three million, five hundred eighty-seven thousand, seventy-two".