11998272 has 224 divisors, whose sum is σ = 40965120. Its totient is φ = 3041280.

The previous prime is 11998223. The next prime is 11998297. The reversal of 11998272 is 27289911.

It is a Harshad number since it is a multiple of its sum of digits (39).

Its product of digits (18144) is a multiple of the sum of its prime factors (81).

It is a self number, because there is not a number n which added to its sum of digits gives 11998272.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 521653 + ... + 521675.

It is an arithmetic number, because the mean of its divisors is an integer number (182880).

Almost surely, 2^11998272 is an apocalyptic number.

11998272 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 11998272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20482560).

11998272 is an abundant number, since it is smaller than the sum of its proper divisors (28966848).

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

11998272 is a wasteful number, since it uses less digits than its factorization.

11998272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 71 counting only the distinct ones).

The product of its digits is 18144, while the sum is 39.

The square root of 11998272 is about 3463.8521908419. The cubic root of 11998272 is about 228.9318587264.

The spelling of 11998272 in words is "eleven million, nine hundred ninety-eight thousand, two hundred seventy-two".