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72054120 = 2335600451
BaseRepresentation
bin1000100101101…
…11010101101000
312000120201200010
410102313111220
5121421212440
611052211520
71533310215
oct422672550
9160521603
1072054120
1137744366
1220169ba0
1311c0a798
1497d8b0c
1564d4580
hex44b7568

72054120 has 32 divisors (see below), whose sum is σ = 216162720. Its totient is φ = 19214400.

The previous prime is 72054079. The next prime is 72054127. The reversal of 72054120 is 2145027.

It is not an unprimeable number, because it can be changed into a prime (72054127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 300106 + ... + 300345.

It is an arithmetic number, because the mean of its divisors is an integer number (6755085).

Almost surely, 272054120 is an apocalyptic number.

It is an amenable number.

72054120 is an abundant number, since it is smaller than the sum of its proper divisors (144108600).

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

72054120 is a wasteful number, since it uses less digits than its factorization.

72054120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600465 (or 600461 counting only the distinct ones).

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

The square root of 72054120 is about 8488.4698267709. The cubic root of 72054120 is about 416.1209738161.

Adding to 72054120 its reverse (2145027), we get a palindrome (74199147).

It can be divided in two parts, 7205 and 4120, that added together give a triangular number (11325 = T150).

The spelling of 72054120 in words is "seventy-two million, fifty-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 600451 1200902 1801353 2401804 3002255 3602706 4803608 6004510 7205412 9006765 12009020 14410824 18013530 24018040 36027060 72054120