16382072 has 72 divisors (see below), whose sum is σ = 37825200. Its totient is φ = 6630624.

The previous prime is 16382063. The next prime is 16382087. The reversal of 16382072 is 27028361.

It is a happy number.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 207329 + ... + 207407.

It is an arithmetic number, because the mean of its divisors is an integer number (525350).

Almost surely, 2^16382072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16382072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18912600).

16382072 is an abundant number, since it is smaller than the sum of its proper divisors (21443128).

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

16382072 is a wasteful number, since it uses less digits than its factorization.

16382072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 16382072 is about 4047.4772389724. The cubic root of 16382072 is about 253.9742053290.

The spelling of 16382072 in words is "sixteen million, three hundred eighty-two thousand, seventy-two".