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72130440 = 2335743809
BaseRepresentation
bin1000100110010…
…01111110001000
312000201121100210
410103021332020
5121431133230
611054001120
71534045554
oct423117610
9160647323
1072130440
1137796738
12201a61a0
1311c36445
149818864
1564ebeb0
hex44c9f88

72130440 has 64 divisors (see below), whose sum is σ = 216950400. Its totient is φ = 19185152.

The previous prime is 72130411. The next prime is 72130481. The reversal of 72130440 is 4403127.

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, 88756 + ... + 89564.

It is an arithmetic number, because the mean of its divisors is an integer number (3389850).

Almost surely, 272130440 is an apocalyptic number.

It is an amenable number.

72130440 is an abundant number, since it is smaller than the sum of its proper divisors (144819960).

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

72130440 is a wasteful number, since it uses less digits than its factorization.

72130440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1566 (or 1562 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 72130440 is about 8492.9641468689. The cubic root of 72130440 is about 416.2678409509.

Adding to 72130440 its reverse (4403127), we get a palindrome (76533567).

The spelling of 72130440 in words is "seventy-two million, one hundred thirty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 743 809 1486 1618 2229 2427 2972 3236 3715 4045 4458 4854 5944 6472 7430 8090 8916 9708 11145 12135 14860 16180 17832 19416 22290 24270 29720 32360 44580 48540 89160 97080 601087 1202174 1803261 2404348 3005435 3606522 4808696 6010870 7213044 9016305 12021740 14426088 18032610 24043480 36065220 72130440