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72051420 = 22357199029
BaseRepresentation
bin1000100101101…
…10101011011100
312000120120222010
410102312223130
5121421121140
611052151220
71533266310
oct422665334
9160516863
1072051420
1137742331
1220168510
1311c0949c
1497d7b40
1564d3880
hex44b6adc

72051420 has 96 divisors (see below), whose sum is σ = 242726400. Its totient is φ = 15600384.

The previous prime is 72051383. The next prime is 72051437. The reversal of 72051420 is 2415027.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3466 + ... + 12494.

It is an arithmetic number, because the mean of its divisors is an integer number (2528400).

Almost surely, 272051420 is an apocalyptic number.

72051420 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72051420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121363200).

72051420 is an abundant number, since it is smaller than the sum of its proper divisors (170674980).

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

72051420 is a wasteful number, since it uses less digits than its factorization.

72051420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9067 (or 9065 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 72051420 is about 8488.3107860163. The cubic root of 72051420 is about 416.1157761459.

Adding to 72051420 its reverse (2415027), we get a palindrome (74466447).

The spelling of 72051420 in words is "seventy-two million, fifty-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 19 20 21 28 30 35 38 42 57 60 70 76 84 95 105 114 133 140 190 210 228 266 285 380 399 420 532 570 665 798 1140 1330 1596 1995 2660 3990 7980 9029 18058 27087 36116 45145 54174 63203 90290 108348 126406 135435 171551 180580 189609 252812 270870 316015 343102 379218 514653 541740 632030 686204 758436 857755 948045 1029306 1200857 1264060 1715510 1896090 2058612 2401714 2573265 3431020 3602571 3792180 4803428 5146530 6004285 7205142 10293060 12008570 14410284 18012855 24017140 36025710 72051420