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74088 = 233373
BaseRepresentation
bin10010000101101000
310202122000
4102011220
54332323
61331000
7426000
oct220550
9122560
1074088
1150733
1236a60
1327951
141d000
1516e43
hex12168

74088 has 64 divisors (see below), whose sum is σ = 240000. Its totient is φ = 21168.

The previous prime is 74077. The next prime is 74093. The reversal of 74088 is 88047.

Multipling 74088 by its sum of digits (27), we get a cube (2000376 = 1263).

74088 divided by its sum of digits (27) gives a cube (2744 = 143).

It can be divided in two parts, 740 and 88, that added together give a palindrome (828).

It is a happy number.

The cubic root of 74088 is 42.

It is a perfect power (a cube), and thus also a powerful number.

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

It is an unprimeable number.

74088 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 15 ways as a sum of consecutive naturals, for example, 10581 + ... + 10587.

It is an arithmetic number, because the mean of its divisors is an integer number (3750).

274088 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 74088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120000).

74088 is an abundant number, since it is smaller than the sum of its proper divisors (165912).

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

74088 is a wasteful number, since it uses less digits than its factorization.

74088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36 (or 12 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 74088 is about 272.1911093331.

The spelling of 74088 in words is "seventy-four thousand, eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 49 54 56 63 72 84 98 108 126 147 168 189 196 216 252 294 343 378 392 441 504 588 686 756 882 1029 1176 1323 1372 1512 1764 2058 2646 2744 3087 3528 4116 5292 6174 8232 9261 10584 12348 18522 24696 37044 74088