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68472 = 2333317
BaseRepresentation
bin10000101101111000
310110221000
4100231320
54142342
61245000
7403425
oct205570
9113830
1068472
1147498
1233760
1325221
141ad4c
151544c
hex10b78

68472 has 32 divisors (see below), whose sum is σ = 190800. Its totient is φ = 22752.

The previous prime is 68449. The next prime is 68473. The reversal of 68472 is 27486.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68473) by changing a digit.

68472 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 7 ways as a sum of consecutive naturals, for example, 58 + ... + 374.

268472 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 68472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95400).

68472 is an abundant number, since it is smaller than the sum of its proper divisors (122328).

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

68472 is a wasteful number, since it uses less digits than its factorization.

68472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 322 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 68472 is about 261.6715498483. The cubic root of 68472 is about 40.9107716481.

The spelling of 68472 in words is "sixty-eight thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 317 634 951 1268 1902 2536 2853 3804 5706 7608 8559 11412 17118 22824 34236 68472