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721312672 = 25411374013
BaseRepresentation
bin101010111111100…
…101101110100000
31212021021110222011
4222333211232200
52434124001142
6155324122304
723606025253
oct5277455640
91767243864
10721312672
11340186983
12181696394
13b6592142
146bb2509a
15434d2417
hex2afe5ba0

721312672 has 48 divisors (see below), whose sum is σ = 1465704072. Its totient is φ = 349204480.

The previous prime is 721312649. The next prime is 721312699. The reversal of 721312672 is 276213127.

It can be written as a sum of positive squares in 4 ways, for example, as 587771536 + 133541136 = 24244^2 + 11556^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 177738 + ... + 181750.

Almost surely, 2721312672 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 721312672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (732852036).

721312672 is an abundant number, since it is smaller than the sum of its proper divisors (744391400).

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

721312672 is a wasteful number, since it uses less digits than its factorization.

721312672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4201 (or 4193 counting only the distinct ones).

The product of its digits is 7056, while the sum is 31.

The square root of 721312672 is about 26857.2647899968. The cubic root of 721312672 is about 896.8253051609.

Adding to 721312672 its reverse (276213127), we get a palindrome (997525799).

The spelling of 721312672 in words is "seven hundred twenty-one million, three hundred twelve thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 32 41 82 137 164 274 328 548 656 1096 1312 2192 4013 4384 5617 8026 11234 16052 22468 32104 44936 64208 89872 128416 164533 179744 329066 549781 658132 1099562 1316264 2199124 2632528 4398248 5265056 8796496 17592992 22541021 45082042 90164084 180328168 360656336 721312672