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72773381 is a prime number
BaseRepresentation
bin1000101011001…
…10111100000101
312001221021022102
410111212330011
5122112222011
611115441445
71542364202
oct425467405
9161837272
1072773381
113809579a
1220456285
13120ccc95
149944ca9
1565c773b
hex4566f05

72773381 has 2 divisors, whose sum is σ = 72773382. Its totient is φ = 72773380.

The previous prime is 72773369. The next prime is 72773411. The reversal of 72773381 is 18337727.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 51696100 + 21077281 = 7190^2 + 4591^2 .

It is an emirp because it is prime and its reverse (18337727) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 72773381 - 26 = 72773317 is a prime.

It is a super-2 number, since 2×727733812 = 10591929964342322, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72773581) 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 as a sum of consecutive naturals, namely, 36386690 + 36386691.

It is an arithmetic number, because the mean of its divisors is an integer number (36386691).

Almost surely, 272773381 is an apocalyptic number.

It is an amenable number.

72773381 is a deficient number, since it is larger than the sum of its proper divisors (1).

72773381 is an equidigital number, since it uses as much as digits as its factorization.

72773381 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 49392, while the sum is 38.

The square root of 72773381 is about 8530.7315630021. The cubic root of 72773381 is about 417.5009975235.

The spelling of 72773381 in words is "seventy-two million, seven hundred seventy-three thousand, three hundred eighty-one".