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72102413 is a prime number
BaseRepresentation
bin1000100110000…
…11001000001101
312000200011220202
410103003020031
5121424234123
611053223245
71533601055
oct423031015
9160604822
1072102413
1137777679
1220191b25
1311c26766
14980c565
1564e3a28
hex44c320d

72102413 has 2 divisors, whose sum is σ = 72102414. Its totient is φ = 72102412.

The previous prime is 72102403. The next prime is 72102449. The reversal of 72102413 is 31420127.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 65966884 + 6135529 = 8122^2 + 2477^2 .

It is a cyclic number.

It is not a de Polignac number, because 72102413 - 28 = 72102157 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72102403) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36051206 + 36051207.

It is an arithmetic number, because the mean of its divisors is an integer number (36051207).

Almost surely, 272102413 is an apocalyptic number.

It is an amenable number.

72102413 is a deficient number, since it is larger than the sum of its proper divisors (1).

72102413 is an equidigital number, since it uses as much as digits as its factorization.

72102413 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 72102413 is about 8491.3139737028. The cubic root of 72102413 is about 416.2139189628.

The spelling of 72102413 in words is "seventy-two million, one hundred two thousand, four hundred thirteen".