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72131340 = 22351770717
BaseRepresentation
bin1000100110010…
…10001100001100
312000201122121010
410103022030030
5121431200330
611054005220
71534051311
oct423121414
9160648533
1072131340
1137797386
12201a6810
1311c36988
149818d08
1564ec3b0
hex44ca30c

72131340 has 48 divisors (see below), whose sum is σ = 213851232. Its totient is φ = 18103296.

The previous prime is 72131333. The next prime is 72131363. The reversal of 72131340 is 4313127.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34339 + ... + 36378.

It is an arithmetic number, because the mean of its divisors is an integer number (4455234).

Almost surely, 272131340 is an apocalyptic number.

It is an amenable number.

72131340 is an abundant number, since it is smaller than the sum of its proper divisors (141719892).

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

72131340 is a wasteful number, since it uses less digits than its factorization.

72131340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70746 (or 70744 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 72131340 is about 8493.0171317383. The cubic root of 72131340 is about 416.2695722565.

Adding to 72131340 its reverse (4313127), we get a palindrome (76444467).

The spelling of 72131340 in words is "seventy-two million, one hundred thirty-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 510 1020 70717 141434 212151 282868 353585 424302 707170 848604 1060755 1202189 1414340 2121510 2404378 3606567 4243020 4808756 6010945 7213134 12021890 14426268 18032835 24043780 36065670 72131340