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69072 = 2431439
BaseRepresentation
bin10000110111010000
310111202020
4100313100
54202242
61251440
7405243
oct206720
9114666
1069072
1147993
1233b80
1325593
141b25a
15156ec
hex10dd0

69072 has 20 divisors (see below), whose sum is σ = 178560. Its totient is φ = 23008.

The previous prime is 69067. The next prime is 69073. The reversal of 69072 is 27096.

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

It is an alternating number because its digits alternate between even and odd.

It is a plaindrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (69073) 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 3 ways as a sum of consecutive naturals, for example, 672 + ... + 767.

It is an arithmetic number, because the mean of its divisors is an integer number (8928).

269072 is an apocalyptic number.

It is an amenable number.

69072 is an abundant number, since it is smaller than the sum of its proper divisors (109488).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89280).

69072 is a wasteful number, since it uses less digits than its factorization.

69072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1450 (or 1444 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 69072 is about 262.8155246556. The cubic root of 69072 is about 41.0299206540.

Adding to 69072 its sum of digits (24), we get a palindrome (69096).

The spelling of 69072 in words is "sixty-nine thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 1439 2878 4317 5756 8634 11512 17268 23024 34536 69072