16972032 has 216 divisors, whose sum is σ = 58720032. Its totient is φ = 4300800.

The previous prime is 16972027. The next prime is 16972037. The reversal of 16972032 is 23027961.

It is an interprime number because it is at equal distance from previous prime (16972027) and next prime (16972037).

It is not an unprimeable number, because it can be changed into a prime (16972037) 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, 413932 + ... + 413972.

It is an arithmetic number, because the mean of its divisors is an integer number (271852).

Almost surely, 2^16972032 is an apocalyptic number.

16972032 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 16972032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29360016).

16972032 is an abundant number, since it is smaller than the sum of its proper divisors (41748000).

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

16972032 is a wasteful number, since it uses less digits than its factorization.

16972032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 16972032 is about 4119.7126113359. The cubic root of 16972032 is about 256.9870746022.

Adding to 16972032 its reverse (23027961), we get a palindrome (39999993).

The spelling of 16972032 in words is "sixteen million, nine hundred seventy-two thousand, thirty-two".