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72000053 is a prime number
BaseRepresentation
bin1000100101010…
…10001000110101
312000110222111122
410102222020311
5121413000203
611051113325
71532663456
oct422521065
9160428448
1072000053
1137707784
1220142845
1311bbbca8
1497c312d
1564c3538
hex44aa235

72000053 has 2 divisors, whose sum is σ = 72000054. Its totient is φ = 72000052.

The previous prime is 72000007. The next prime is 72000091. The reversal of 72000053 is 35000027.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 64288324 + 7711729 = 8018^2 + 2777^2 .

It is a cyclic number.

It is not a de Polignac number, because 72000053 - 26 = 71999989 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 71999995 and 72000040.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72000353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36000026 + 36000027.

It is an arithmetic number, because the mean of its divisors is an integer number (36000027).

Almost surely, 272000053 is an apocalyptic number.

It is an amenable number.

72000053 is a deficient number, since it is larger than the sum of its proper divisors (1).

72000053 is an equidigital number, since it uses as much as digits as its factorization.

72000053 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 210, while the sum is 17.

The square root of 72000053 is about 8485.2844972929. The cubic root of 72000053 is about 416.0168666885.

The spelling of 72000053 in words is "seventy-two million, fifty-three", and thus it is an aban number and an uban number.