16872900 has 72 divisors (see below), whose sum is σ = 53267424. Its totient is φ = 4089600.

The previous prime is 16872883. The next prime is 16872907. The reversal of 16872900 is 927861.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16872907) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 744 + ... + 5856.

Almost surely, 2^16872900 is an apocalyptic number.

16872900 is a gapful number since it is divisible by the number (10) 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 16872900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26633712).

16872900 is an abundant number, since it is smaller than the sum of its proper divisors (36394524).

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

16872900 is a wasteful number, since it uses less digits than its factorization.

16872900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5141 (or 5134 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 16872900 is about 4107.6635694760. The cubic root of 16872900 is about 256.4857517098.

The spelling of 16872900 in words is "sixteen million, eight hundred seventy-two thousand, nine hundred".