18826272 has 72 divisors (see below), whose sum is σ = 54054000. Its totient is φ = 6215040.

The previous prime is 18826271. The next prime is 18826277. The reversal of 18826272 is 27262881.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (18826271) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37479 + ... + 37977.

It is an arithmetic number, because the mean of its divisors is an integer number (750750).

Almost surely, 2^18826272 is an apocalyptic number.

18826272 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 18826272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27027000).

18826272 is an abundant number, since it is smaller than the sum of its proper divisors (35227728).

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

18826272 is a wasteful number, since it uses less digits than its factorization.

18826272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646 (or 635 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 18826272 is about 4338.9252125382. The cubic root of 18826272 is about 266.0243820340.

The spelling of 18826272 in words is "eighteen million, eight hundred twenty-six thousand, two hundred seventy-two".