71903209248 has 384 divisors, whose sum is σ = 240146726400. Its totient is φ = 20806668288.

The previous prime is 71903209243. The next prime is 71903209249. The reversal of 71903209248 is 84290230917.

It is not an unprimeable number, because it can be changed into a prime (71903209243) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 55182165 + ... + 55183467.

It is an arithmetic number, because the mean of its divisors is an integer number (625382100).

Almost surely, 2^71903209248 is an apocalyptic number.

71903209248 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71903209248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120073363200).

71903209248 is an abundant number, since it is smaller than the sum of its proper divisors (168243517152).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

71903209248 is a wasteful number, since it uses less digits than its factorization.

71903209248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1386 (or 1338 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 71903209248 in words is "seventy-one billion, nine hundred three million, two hundred nine thousand, two hundred forty-eight".