16771872 has 96 divisors (see below), whose sum is σ = 48263040. Its totient is φ = 5068800.

The previous prime is 16771861. The next prime is 16771883. The reversal of 16771872 is 27817761.

It is an interprime number because it is at equal distance from previous prime (16771861) and next prime (16771883).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a nialpdrome in base 8 and base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 16771872.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 110997 + ... + 111147.

It is an arithmetic number, because the mean of its divisors is an integer number (502740).

Almost surely, 2^16771872 is an apocalyptic number.

16771872 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 16771872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24131520).

16771872 is an abundant number, since it is smaller than the sum of its proper divisors (31491168).

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

16771872 is a wasteful number, since it uses less digits than its factorization.

16771872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 258 counting only the distinct ones).

The product of its digits is 32928, while the sum is 39.

The square root of 16771872 is about 4095.3476042944. The cubic root of 16771872 is about 255.9728161239.

The spelling of 16771872 in words is "sixteen million, seven hundred seventy-one thousand, eight hundred seventy-two".