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72707130 = 23251747521
BaseRepresentation
bin1000101010101…
…10110000111010
312001210220102200
410111112300322
5122103112010
611114211030
71542000066
oct425266072
9161726380
1072707130
113804aa41
1220423a76
13120a8a92
149928aa6
1565b2cc0
hex4556c3a

72707130 has 48 divisors (see below), whose sum is σ = 200162664. Its totient is φ = 18247680.

The previous prime is 72707111. The next prime is 72707189. The reversal of 72707130 is 3170727.

It can be written as a sum of positive squares in 4 ways, for example, as 72131049 + 576081 = 8493^2 + 759^2 .

It is a junction number, because it is equal to n+sod(n) for n = 72707094 and 72707103.

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 23 ways as a sum of consecutive naturals, for example, 22231 + ... + 25290.

Almost surely, 272707130 is an apocalyptic number.

72707130 is an abundant number, since it is smaller than the sum of its proper divisors (127455534).

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

72707130 is a wasteful number, since it uses less digits than its factorization.

72707130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47551 (or 47548 counting only the distinct ones).

The product of its (nonzero) digits is 2058, while the sum is 27.

The square root of 72707130 is about 8526.8476003738. The cubic root of 72707130 is about 417.3742650285.

Adding to 72707130 its reverse (3170727), we get a palindrome (75877857).

It can be divided in two parts, 7270 and 7130, that added together give a square (14400 = 1202).

The spelling of 72707130 in words is "seventy-two million, seven hundred seven thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 255 306 510 765 1530 47521 95042 142563 237605 285126 427689 475210 712815 807857 855378 1425630 1615714 2138445 2423571 4039285 4276890 4847142 7270713 8078570 12117855 14541426 24235710 36353565 72707130