3623072 has 48 divisors (see below), whose sum is σ = 7711200. Its totient is φ = 1670400.

The previous prime is 3623071. The next prime is 3623099. The reversal of 3623072 is 2703263.

It is not an unprimeable number, because it can be changed into a prime (3623071) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35822 + ... + 35922.

It is an arithmetic number, because the mean of its divisors is an integer number (160650).

Almost surely, 2^3623072 is an apocalyptic number.

3623072 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 3623072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3855600).

3623072 is an abundant number, since it is smaller than the sum of its proper divisors (4088128).

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

3623072 is a wasteful number, since it uses less digits than its factorization.

3623072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 23.

The square root of 3623072 is about 1903.4368915202. The cubic root of 3623072 is about 153.5886023082.

The spelling of 3623072 in words is "three million, six hundred twenty-three thousand, seventy-two".