1143072 has 126 divisors (see below), whose sum is σ = 3924963. Its totient is φ = 326592.

The previous prime is 1143071. The next prime is 1143073. The reversal of 1143072 is 2703411.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (1143071) and next prime (1143073).

It can be written as a sum of positive squares in only one way, i.e., 571536 + 571536 = 756^2 + 756^2 .

It is a tau number, because it is divible by the number of its divisors (126).

It is an ABA number since it can be written as A⋅B^{A}, here for A=2, B=756.

It is a super-2 number, since 2×1143072^{2} = 2613227194368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1143071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 163293 + ... + 163299.

2^{1143072} is an apocalyptic number.

1143072 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 1143072

1143072 is an abundant number, since it is smaller than the sum of its proper divisors (2781891).

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

1143072 is an frugal number, since it uses more digits than its factorization.

1143072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42 (or 12 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 1143072 is about 1069.1454531541. The cubic root of 1143072 is about 104.5581432041.

Multiplying 1143072 by its sum of digits (18), we get a square (20575296 = 4536^{2}).

1143072 divided by its sum of digits (18) gives a square (63504 = 252^{2}).

Adding to 1143072 its reverse (2703411), we get a palindrome (3846483).

The spelling of 1143072 in words is "one million, one hundred forty-three thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 49 54 56 63 72 81 84 96 98 108 112 126 144 147 162 168 189 196 216 224 243 252 288 294 324 336 378 392 432 441 486 504 567 588 648 672 729 756 784 864 882 972 1008 1134 1176 1296 1323 1458 1512 1568 1701 1764 1944 2016 2268 2352 2592 2646 2916 3024 3402 3528 3888 3969 4536 4704 5103 5292 5832 6048 6804 7056 7776 7938 9072 10206 10584 11664 11907 13608 14112 15876 18144 20412 21168 23328 23814 27216 31752 35721 40824 42336 47628 54432 63504 71442 81648 95256 127008 142884 163296 190512 285768 381024 571536 1143072

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