16813272 has 144 divisors (see below), whose sum is σ = 53618760. Its totient is φ = 4365312.

The previous prime is 16813249. The next prime is 16813283. The reversal of 16813272 is 27231861.

It is a super-2 number, since 2×16813272² = 565372230691968, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 579754 + ... + 579782.

Almost surely, 2^16813272 is an apocalyptic number.

16813272 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 16813272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26809380).

16813272 is an abundant number, since it is smaller than the sum of its proper divisors (36805488).

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

16813272 is a wasteful number, since it uses less digits than its factorization.

16813272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 58 counting only the distinct ones).

The product of its digits is 4032, while the sum is 30.

The square root of 16813272 is about 4100.3990049750. The cubic root of 16813272 is about 256.1832590811.

The spelling of 16813272 in words is "sixteen million, eight hundred thirteen thousand, two hundred seventy-two".