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72000124 = 22719113463
BaseRepresentation
bin1000100101010…
…10001001111100
312000110222121021
410102222021330
5121413000444
611051113524
71532663620
oct422521174
9160428537
1072000124
1137707839
12201428a4
1311bbc031
1497c3180
1564c3584
hex44aa27c

72000124 has 24 divisors (see below), whose sum is σ = 144764928. Its totient is φ = 30693360.

The previous prime is 72000121. The next prime is 72000133. The reversal of 72000124 is 42100027.

72000124 is digitally balanced in base 9, because in such base it contains all the possibile digits an equal number of times.

72000124 is strictly pandigital in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 72000098 and 72000107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72000121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1384 + ... + 12079.

It is an arithmetic number, because the mean of its divisors is an integer number (6031872).

Almost surely, 272000124 is an apocalyptic number.

It is an amenable number.

72000124 is an abundant number, since it is smaller than the sum of its proper divisors (72764804).

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

72000124 is a wasteful number, since it uses less digits than its factorization.

72000124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13665 (or 13663 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 16.

The square root of 72000124 is about 8485.2886810055. The cubic root of 72000124 is about 416.0170034347.

The spelling of 72000124 in words is "seventy-two million, one hundred twenty-four", and thus it is an aban number.

Divisors: 1 2 4 7 14 28 191 382 764 1337 2674 5348 13463 26926 53852 94241 188482 376964 2571433 5142866 10285732 18000031 36000062 72000124