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72137160 = 23325200381
BaseRepresentation
bin1000100110010…
…11100111001000
312000201221120200
410103023213020
5121431342120
611054052200
71534104264
oct423134710
9160657520
1072137160
11377a0797
12201aa060
1311c39514
14981b0a4
1564ede90
hex44cb9c8

72137160 has 48 divisors (see below), whose sum is σ = 234446940. Its totient is φ = 19236480.

The previous prime is 72137159. The next prime is 72137173. The reversal of 72137160 is 6173127.

It can be written as a sum of positive squares in 2 ways, for example, as 62062884 + 10074276 = 7878^2 + 3174^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 99831 + ... + 100550.

Almost surely, 272137160 is an apocalyptic number.

It is an amenable number.

72137160 is an abundant number, since it is smaller than the sum of its proper divisors (162309780).

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

72137160 is a wasteful number, since it uses less digits than its factorization.

72137160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200398 (or 200391 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 72137160 is about 8493.3597592472. The cubic root of 72137160 is about 416.2807676849.

The spelling of 72137160 in words is "seventy-two million, one hundred thirty-seven thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 200381 400762 601143 801524 1001905 1202286 1603048 1803429 2003810 2404572 3005715 3606858 4007620 4809144 6011430 7213716 8015240 9017145 12022860 14427432 18034290 24045720 36068580 72137160