16772736 has 64 divisors (see below), whose sum is σ = 46022400. Its totient is φ = 5406720.

The previous prime is 16772711. The next prime is 16772741. The reversal of 16772736 is 63727761.

It is a tau number, because it is divible by the number of its divisors (64).

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 16772694 and 16772703.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11200 + ... + 12608.

It is an arithmetic number, because the mean of its divisors is an integer number (719100).

Almost surely, 2^16772736 is an apocalyptic number.

16772736 is a gapful number since it is divisible by the number (16) 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 16772736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23011200).

16772736 is an abundant number, since it is smaller than the sum of its proper divisors (29249664).

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

16772736 is a wasteful number, since it uses less digits than its factorization.

16772736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1457 (or 1445 counting only the distinct ones).

The product of its digits is 74088, while the sum is 39.

The square root of 16772736 is about 4095.4530884873. The cubic root of 16772736 is about 255.9772115132.

The spelling of 16772736 in words is "sixteen million, seven hundred seventy-two thousand, seven hundred thirty-six".