16785972 has 72 divisors (see below), whose sum is σ = 49358400. Its totient is φ = 4710528.

The previous prime is 16785961. The next prime is 16785991. The reversal of 16785972 is 27958761.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14304 + ... + 15432.

Almost surely, 2^16785972 is an apocalyptic number.

16785972 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 16785972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24679200).

16785972 is an abundant number, since it is smaller than the sum of its proper divisors (32572428).

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

16785972 is a wasteful number, since it uses less digits than its factorization.

16785972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1205 (or 1200 counting only the distinct ones).

The product of its digits is 211680, while the sum is 45.

The square root of 16785972 is about 4097.0687082352. The cubic root of 16785972 is about 256.0445275736.

The spelling of 16785972 in words is "sixteen million, seven hundred eighty-five thousand, nine hundred seventy-two".