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72492000337 is a prime number
BaseRepresentation
bin100001110000011011…
…1000010010001010001
320221010002111011200101
41003200313002101101
52141430423002322
653145151052401
75144263556521
oct1034067022121
9227102434611
1072492000337
112881a931889
1212071511101
136ab3805873
143719983681
151d442ab327
hex10e0dc2451

72492000337 has 2 divisors, whose sum is σ = 72492000338. Its totient is φ = 72492000336.

The previous prime is 72492000283. The next prime is 72492000353. The reversal of 72492000337 is 73300029427.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 65574917776 + 6917082561 = 256076^2 + 83169^2 .

It is an emirp because it is prime and its reverse (73300029427) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 72492000337 - 219 = 72491476049 is a prime.

It is a super-2 number, since 2×724920003372 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 72492000296 and 72492000305.

It is not a weakly prime, because it can be changed into another prime (72492000367) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36246000168 + 36246000169.

It is an arithmetic number, because the mean of its divisors is an integer number (36246000169).

Almost surely, 272492000337 is an apocalyptic number.

It is an amenable number.

72492000337 is a deficient number, since it is larger than the sum of its proper divisors (1).

72492000337 is an equidigital number, since it uses as much as digits as its factorization.

72492000337 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 63504, while the sum is 37.

The spelling of 72492000337 in words is "seventy-two billion, four hundred ninety-two million, three hundred thirty-seven", and thus it is an aban number.