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72864061 is a prime number
BaseRepresentation
bin1000101011111…
…01000100111101
312002002212200221
410111331010331
5122123122221
611121421341
71543222444
oct425750475
9162085627
1072864061
1138147936
122049a851
131213233a
149969d5b
1565e4541
hex457d13d

72864061 has 2 divisors, whose sum is σ = 72864062. Its totient is φ = 72864060.

The previous prime is 72863983. The next prime is 72864079. The reversal of 72864061 is 16046827.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 60543961 + 12320100 = 7781^2 + 3510^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-72864061 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72864361) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36432030 + 36432031.

It is an arithmetic number, because the mean of its divisors is an integer number (36432031).

Almost surely, 272864061 is an apocalyptic number.

It is an amenable number.

72864061 is a deficient number, since it is larger than the sum of its proper divisors (1).

72864061 is an equidigital number, since it uses as much as digits as its factorization.

72864061 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 72864061 is about 8536.0448100979. The cubic root of 72864061 is about 417.6743359794.

The spelling of 72864061 in words is "seventy-two million, eight hundred sixty-four thousand, sixty-one".