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69872 = 2411397
BaseRepresentation
bin10001000011110000
310112211212
4101003300
54213442
61255252
7410465
oct210360
9115755
1069872
1148550
1234528
1325a5a
141b66c
1515a82
hex110f0

69872 has 20 divisors (see below), whose sum is σ = 148056. Its totient is φ = 31680.

The previous prime is 69859. The next prime is 69877. The reversal of 69872 is 27896.

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

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 69872.

It is not an unprimeable number, because it can be changed into a prime (69877) by changing a digit.

69872 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 23 + ... + 374.

269872 is an apocalyptic number.

It is an amenable number.

69872 is an abundant number, since it is smaller than the sum of its proper divisors (78184).

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 (74028).

69872 is a wasteful number, since it uses less digits than its factorization.

69872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 410 counting only the distinct ones).

The product of its digits is 6048, while the sum is 32.

The square root of 69872 is about 264.3331231609. Note that the first 3 decimals coincide. The cubic root of 69872 is about 41.1877174560.

The spelling of 69872 in words is "sixty-nine thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 11 16 22 44 88 176 397 794 1588 3176 4367 6352 8734 17468 34936 69872