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69372 = 22324147
BaseRepresentation
bin10000111011111100
310112011100
4100323330
54204442
61253100
7406152
oct207374
9115140
1069372
1148136
1234190
1325764
141b3d2
151584c
hex10efc

69372 has 36 divisors (see below), whose sum is σ = 183456. Its totient is φ = 22080.

The previous prime is 69371. The next prime is 69379. The reversal of 69372 is 27396.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (69371) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1453 + ... + 1499.

It is an arithmetic number, because the mean of its divisors is an integer number (5096).

269372 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 69372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91728).

69372 is an abundant number, since it is smaller than the sum of its proper divisors (114084).

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

69372 is a wasteful number, since it uses less digits than its factorization.

69372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 93 counting only the distinct ones).

The product of its digits is 2268, while the sum is 27.

The square root of 69372 is about 263.3856488118. The cubic root of 69372 is about 41.0892365300.

It can be divided in two parts, 69 and 372, that added together give a square (441 = 212).

The spelling of 69372 in words is "sixty-nine thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 41 47 82 94 123 141 164 188 246 282 369 423 492 564 738 846 1476 1692 1927 3854 5781 7708 11562 17343 23124 34686 69372