16972872 has 64 divisors (see below), whose sum is σ = 50073600. Its totient is φ = 4691520.

The previous prime is 16972867. The next prime is 16972883. The reversal of 16972872 is 27827961.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 3579 + ... + 6837.

It is an arithmetic number, because the mean of its divisors is an integer number (782400).

Almost surely, 2^16972872 is an apocalyptic number.

16972872 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 16972872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25036800).

16972872 is an abundant number, since it is smaller than the sum of its proper divisors (33100728).

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

16972872 is a wasteful number, since it uses less digits than its factorization.

16972872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3306 (or 3302 counting only the distinct ones).

The product of its digits is 84672, while the sum is 42.

The square root of 16972872 is about 4119.8145589334. The cubic root of 16972872 is about 256.9913142356.

It can be divided in two parts, 1697 and 2872, that multiplied together give a palindrome (4873784).

The spelling of 16972872 in words is "sixteen million, nine hundred seventy-two thousand, eight hundred seventy-two".