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72770880037 is a prime number
BaseRepresentation
bin100001111000101111…
…0111000001000100101
320221211112020201201011
41003301132320020211
52143013321130122
653232552302221
75154221163052
oct1036136701045
9227745221634
1072770880037
11289532a0279
121212a9a1971
136b2951a33b
143744a1a029
151d5d9e7377
hex10f17b8225

72770880037 has 2 divisors, whose sum is σ = 72770880038. Its totient is φ = 72770880036.

The previous prime is 72770879933. The next prime is 72770880047. The reversal of 72770880037 is 73008807727.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 60351783556 + 12419096481 = 245666^2 + 111441^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-72770880037 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72770880047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36385440018 + 36385440019.

It is an arithmetic number, because the mean of its divisors is an integer number (36385440019).

Almost surely, 272770880037 is an apocalyptic number.

It is an amenable number.

72770880037 is a deficient number, since it is larger than the sum of its proper divisors (1).

72770880037 is an equidigital number, since it uses as much as digits as its factorization.

72770880037 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 921984, while the sum is 49.

The spelling of 72770880037 in words is "seventy-two billion, seven hundred seventy million, eight hundred eighty thousand, thirty-seven".