16393872 has 80 divisors (see below), whose sum is σ = 47050560. Its totient is φ = 4876800.

The previous prime is 16393859. The next prime is 16393877. The reversal of 16393872 is 27839361.

It is a self number, because there is not a number n which added to its sum of digits gives 16393872.

It is not an unprimeable number, because it can be changed into a prime (16393877) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31954 + ... + 32462.

It is an arithmetic number, because the mean of its divisors is an integer number (588132).

Almost surely, 2^16393872 is an apocalyptic number.

16393872 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 16393872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23525280).

16393872 is an abundant number, since it is smaller than the sum of its proper divisors (30656688).

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

16393872 is a wasteful number, since it uses less digits than its factorization.

16393872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592 (or 586 counting only the distinct ones).

The product of its digits is 54432, while the sum is 39.

The square root of 16393872 is about 4048.9346747015. The cubic root of 16393872 is about 254.0351698670.

The spelling of 16393872 in words is "sixteen million, three hundred ninety-three thousand, eight hundred seventy-two".