168,072
168,072 is a composite number, even.
168,072 (one hundred sixty-eight thousand seventy-two) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2³ × 3 × 47 × 149. Its proper divisors sum to 263,928, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x29088.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 24
- Digit product
- 0
- Digital root
- 6
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 270,861
- Recamán's sequence
- a(54,636) = 168,072
- Square (n²)
- 28,248,197,184
- Cube (n³)
- 4,747,730,997,109,248
- Divisor count
- 32
- σ(n) — sum of divisors
- 432,000
- φ(n) — Euler's totient
- 54,464
- Sum of prime factors
- 205
Primality
Prime factorization: 2 3 × 3 × 47 × 149
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√168,072 = [409; (1, 28, 3, 1, 1, 16, 6, 6, 1, 1, 1, 1, 2, 1, 16, 1, 2, 1, 1, 1, 1, 6, 6, 16, …)]
Period length 30 — the block in parentheses repeats forever.
Representations
- In words
- one hundred sixty-eight thousand seventy-two
- Ordinal
- 168072nd
- Binary
- 101001000010001000
- Octal
- 510210
- Hexadecimal
- 0x29088
- Base64
- ApCI
- One's complement
- 4,294,799,223 (32-bit)
- Scientific notation
- 1.68072 × 10⁵
- As a duration
- 168,072 s = 1 day, 22 hours, 41 minutes, 12 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
- Greek (Milesian)
- ͵ρξηοβʹ
- Chinese
- 一十六萬八千零七十二
- Chinese (financial)
- 壹拾陸萬捌仟零柒拾貳
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 168072, here are decompositions:
- 5 + 168067 = 168072
- 29 + 168043 = 168072
- 43 + 168029 = 168072
- 59 + 168013 = 168072
- 101 + 167971 = 168072
- 173 + 167899 = 168072
- 181 + 167891 = 168072
- 193 + 167879 = 168072
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A9 82 88 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.144.136.
- Address
- 0.2.144.136
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.144.136
Unspecified address (0.0.0.0/8) — "this network" placeholder.
This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 168,072 and was likely granted around 1874.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
Related reading
- Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.