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72103127 = 711079491
BaseRepresentation
bin1000100110000…
…11010011010111
312000200012220012
410103003103113
5121424300002
611053230435
71533603125
oct423032327
9160605805
1072103127
1137778168
122019241b
1311c26b95
14980c915
1564e3d52
hex44c34d7

72103127 has 8 divisors (see below), whose sum is σ = 73809792. Its totient is φ = 70415800.

The previous prime is 72103079. The next prime is 72103139. The reversal of 72103127 is 72130127.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 72103127 - 28 = 72102871 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72103147) 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, 2852 + ... + 12342.

It is an arithmetic number, because the mean of its divisors is an integer number (9226224).

Almost surely, 272103127 is an apocalyptic number.

72103127 is a deficient number, since it is larger than the sum of its proper divisors (1706665).

72103127 is a wasteful number, since it uses less digits than its factorization.

72103127 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9669.

The product of its (nonzero) digits is 588, while the sum is 23.

The square root of 72103127 is about 8491.3560165618. The cubic root of 72103127 is about 416.2152928223.

Subtracting 72103127 from its reverse (72130127), we obtain a cube (27000 = 303).

The spelling of 72103127 in words is "seventy-two million, one hundred three thousand, one hundred twenty-seven".

Divisors: 1 71 107 7597 9491 673861 1015537 72103127