71006208 has 192 divisors, whose sum is σ = 234823680. Its totient is φ = 18579456.

The previous prime is 71006191. The next prime is 71006261. The reversal of 71006208 is 80260017.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 559041 + ... + 559167.

It is an arithmetic number, because the mean of its divisors is an integer number (1223040).

Almost surely, 2^71006208 is an apocalyptic number.

71006208 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 71006208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117411840).

71006208 is an abundant number, since it is smaller than the sum of its proper divisors (163817472).

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

71006208 is a wasteful number, since it uses less digits than its factorization.

71006208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 71006208 is about 8426.5181421510. The cubic root of 71006208 is about 414.0938432275.

71006208 divided by its sum of digits (24) gives a palindrome (2958592).

The spelling of 71006208 in words is "seventy-one million, six thousand, two hundred eight".