3663072 has 144 divisors (see below), whose sum is σ = 12579840. Its totient is φ = 988416.

The previous prime is 3663071. The next prime is 3663073. The reversal of 3663072 is 2703663.

3663072 is digitally balanced in base 8, 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 (3663071) and next prime (3663073).

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

3663072 is strictly pandigital in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3663071) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46329 + ... + 46407.

It is an arithmetic number, because the mean of its divisors is an integer number (87360).

Almost surely, 2^3663072 is an apocalyptic number.

3663072 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 3663072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6289920).

3663072 is an abundant number, since it is smaller than the sum of its proper divisors (8916768).

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

3663072 is a wasteful number, since it uses less digits than its factorization.

3663072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 27.

The square root of 3663072 is about 1913.9153586301. The cubic root of 3663072 is about 154.1517590974.

The spelling of 3663072 in words is "three million, six hundred sixty-three thousand, seventy-two".