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1072272 = 24389251
BaseRepresentation
bin100000101110010010000
32000110212210
410011302100
5233303042
634552120
712054105
oct4056220
92013783
101072272
11672683
12438640
132b70a6
141dcaac
15162a9c
hex105c90

1072272 has 40 divisors (see below), whose sum is σ = 2812320. Its totient is φ = 352000.

The previous prime is 1072231. The next prime is 1072301. The reversal of 1072272 is 2722701.

It is a super-2 number, since 2×10722722 = 2299534483968, which contains 22 as substring.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 4147 + ... + 4397.

It is an arithmetic number, because the mean of its divisors is an integer number (70308).

21072272 is an apocalyptic number.

1072272 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 1072272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1406160).

1072272 is an abundant number, since it is smaller than the sum of its proper divisors (1740048).

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

1072272 is a wasteful number, since it uses less digits than its factorization.

1072272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 392, while the sum is 21.

The square root of 1072272 is about 1035.5056735721. The cubic root of 1072272 is about 102.3532542171.

Adding to 1072272 its reverse (2722701), we get a palindrome (3794973).

The spelling of 1072272 in words is "one million, seventy-two thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 89 178 251 267 356 502 534 712 753 1004 1068 1424 1506 2008 2136 3012 4016 4272 6024 12048 22339 44678 67017 89356 134034 178712 268068 357424 536136 1072272