16803072 has 288 divisors, whose sum is σ = 61810560. Its totient is φ = 4423680.

The previous prime is 16803043. The next prime is 16803077. The reversal of 16803072 is 27030861.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16803077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 988408 + ... + 988424.

It is an arithmetic number, because the mean of its divisors is an integer number (214620).

Almost surely, 2^16803072 is an apocalyptic number.

16803072 is a gapful number since it is divisible by the number (12) 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 16803072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30905280).

16803072 is an abundant number, since it is smaller than the sum of its proper divisors (45007488).

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

16803072 is a wasteful number, since it uses less digits than its factorization.

16803072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 16803072 is about 4099.1550348822. The cubic root of 16803072 is about 256.1314429159.

The spelling of 16803072 in words is "sixteen million, eight hundred three thousand, seventy-two".