71738991001 has 2 divisors, whose sum is σ = 71738991002. Its totient is φ = 71738991000.

The previous prime is 71738990989. The next prime is 71738991007. The reversal of 71738991001 is 10019983717.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 69593078025 + 2145912976 = 263805^2 + 46324^2 .

It is an emirp because it is prime and its reverse (10019983717) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 71738991001 - 2²³ = 71730602393 is a prime.

It is not a weakly prime, because it can be changed into another prime (71738991007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 35869495500 + 35869495501.

It is an arithmetic number, because the mean of its divisors is an integer number (35869495501).

Almost surely, 2^71738991001 is an apocalyptic number.

It is an amenable number.

71738991001 is a deficient number, since it is larger than the sum of its proper divisors (1).

71738991001 is an equidigital number, since it uses as much as digits as its factorization.

71738991001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 95256, while the sum is 46.

The spelling of 71738991001 in words is "seventy-one billion, seven hundred thirty-eight million, nine hundred ninety-one thousand, one".