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72114560 = 275716097
BaseRepresentation
bin1000100110001…
…10000110000000
312000200210120122
410103012012000
5121430131220
611053355412
71533651350
oct423060600
9160623518
1072114560
1137785811
1220198b68
1311c2c14b
149812b60
1564e7425
hex44c6180

72114560 has 64 divisors (see below), whose sum is σ = 197039520. Its totient is φ = 24723456.

The previous prime is 72114551. The next prime is 72114571. The reversal of 72114560 is 6541127.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3569 + ... + 12528.

Almost surely, 272114560 is an apocalyptic number.

72114560 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

72114560 is an abundant number, since it is smaller than the sum of its proper divisors (124924960).

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

72114560 is a wasteful number, since it uses less digits than its factorization.

72114560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16123 (or 16111 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 26.

The square root of 72114560 is about 8492.0292039064. The cubic root of 72114560 is about 416.2372906567.

Adding to 72114560 its reverse (6541127), we get a palindrome (78655687).

The spelling of 72114560 in words is "seventy-two million, one hundred fourteen thousand, five hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 280 320 448 560 640 896 1120 2240 4480 16097 32194 64388 80485 112679 128776 160970 225358 257552 321940 450716 515104 563395 643880 901432 1030208 1126790 1287760 1802864 2060416 2253580 2575520 3605728 4507160 5151040 7211456 9014320 10302080 14422912 18028640 36057280 72114560