1138272 has 48 divisors (see below), whose sum is σ = 3048192. Its totient is φ = 371840.

The previous prime is 1138237. The next prime is 1138273. The reversal of 1138272 is 2728311.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1138273) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6733 + ... + 6899.

It is an arithmetic number, because the mean of its divisors is an integer number (63504).

2^1138272 is an apocalyptic number.

1138272 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 1138272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1524096).

1138272 is an abundant number, since it is smaller than the sum of its proper divisors (1909920).

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

1138272 is a wasteful number, since it uses less digits than its factorization.

1138272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 243 counting only the distinct ones).

The product of its digits is 672, while the sum is 24.

The square root of 1138272 is about 1066.8983081812. The cubic root of 1138272 is about 104.4115839820.

It can be divided in two parts, 113 and 8272, that added together give a triangular number (8385 = T₁₂₉).

The spelling of 1138272 in words is "one million, one hundred thirty-eight thousand, two hundred seventy-two".