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72744376829 is a prime number
BaseRepresentation
bin100001110111111100…
…1110001100111111101
320221202200101020010212
41003233321301213331
52142440030024304
653230204242205
75153450000165
oct1035771614775
9227680336125
1072744376829
112893a338aa3
1212121b40365
136b23b9ab77
1437412bb5a5
151d5b50e66e
hex10efe719fd

72744376829 has 2 divisors, whose sum is σ = 72744376830. Its totient is φ = 72744376828.

The previous prime is 72744376729. The next prime is 72744376891. The reversal of 72744376829 is 92867344727.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 68789224729 + 3955152100 = 262277^2 + 62890^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-72744376829 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72744376729) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36372188414 + 36372188415.

It is an arithmetic number, because the mean of its divisors is an integer number (36372188415).

Almost surely, 272744376829 is an apocalyptic number.

It is an amenable number.

72744376829 is a deficient number, since it is larger than the sum of its proper divisors (1).

72744376829 is an equidigital number, since it uses as much as digits as its factorization.

72744376829 is an evil number, because the sum of its binary digits is even.

The product of its digits is 28449792, while the sum is 59.

The spelling of 72744376829 in words is "seventy-two billion, seven hundred forty-four million, three hundred seventy-six thousand, eight hundred twenty-nine".