3567072 has 48 divisors (see below), whose sum is σ = 9510480. Its totient is φ = 1170432.

The previous prime is 3567019. The next prime is 3567089. The reversal of 3567072 is 2707653.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6754 + ... + 7262.

It is an arithmetic number, because the mean of its divisors is an integer number (198135).

Almost surely, 2^3567072 is an apocalyptic number.

3567072 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 3567072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4755240).

3567072 is an abundant number, since it is smaller than the sum of its proper divisors (5943408).

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

3567072 is a wasteful number, since it uses less digits than its factorization.

3567072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 595 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 30.

The square root of 3567072 is about 1888.6693728655. The cubic root of 3567072 is about 152.7931760519.

The spelling of 3567072 in words is "three million, five hundred sixty-seven thousand, seventy-two".