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72321212327 = 7131181672937
BaseRepresentation
bin100001101011010101…
…1100001111110100111
320220200012010020120112
41003112223201332213
52141103212243302
653120210323235
75140121106350
oct1032653417647
9226605106515
1072321212327
1128742491271
121202428951b
136a87308980
143701006d27
151d342c2552
hex10d6ae1fa7

72321212327 has 16 divisors (see below), whose sum is σ = 89086224192. Its totient is φ = 57172642560.

The previous prime is 72321212311. The next prime is 72321212363.

72321212327 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 72321212327 - 24 = 72321212311 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a junction number, because it is equal to n+sod(n) for n = 72321212293 and 72321212302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72321212387) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 228998 + ... + 443939.

It is an arithmetic number, because the mean of its divisors is an integer number (5567889012).

Almost surely, 272321212327 is an apocalyptic number.

72321212327 is a deficient number, since it is larger than the sum of its proper divisors (16765011865).

72321212327 is a wasteful number, since it uses less digits than its factorization.

72321212327 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674138.

The product of its digits is 14112, while the sum is 32.

The spelling of 72321212327 in words is "seventy-two billion, three hundred twenty-one million, two hundred twelve thousand, three hundred twenty-seven".

Divisors: 1 7 13 91 1181 8267 15353 107471 672937 4710559 8748181 61237267 794738597 5563170179 10331601761 72321212327