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72004314 = 23101118819
BaseRepresentation
bin1000100101010…
…11001011011010
312000111012100110
410102223023122
5121413114224
611051145150
71533012054
oct422531332
9160435313
1072004314
113770a9a8
12201451b6
1311bc0c05
1497c48d4
1564c4929
hex44ab2da

72004314 has 16 divisors (see below), whose sum is σ = 145435680. Its totient is φ = 23763600.

The previous prime is 72004307. The next prime is 72004321. The reversal of 72004314 is 41340027.

It is an interprime number because it is at equal distance from previous prime (72004307) and next prime (72004321).

It is a super-3 number, since 3×720043143 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58804 + ... + 60015.

It is an arithmetic number, because the mean of its divisors is an integer number (9089730).

Almost surely, 272004314 is an apocalyptic number.

72004314 is an abundant number, since it is smaller than the sum of its proper divisors (73431366).

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

72004314 is a wasteful number, since it uses less digits than its factorization.

72004314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118925.

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 72004314 is about 8485.5355753187. The cubic root of 72004314 is about 416.0250732237.

The spelling of 72004314 in words is "seventy-two million, four thousand, three hundred fourteen".

Divisors: 1 2 3 6 101 202 303 606 118819 237638 356457 712914 12000719 24001438 36002157 72004314