71034768 has 120 divisors (see below), whose sum is σ = 239220800. Its totient is φ = 19222272.

The previous prime is 71034763. The next prime is 71034773. The reversal of 71034768 is 86743017.

It is an interprime number because it is at equal distance from previous prime (71034763) and next prime (71034773).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (71034763) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17298 + ... + 21006.

Almost surely, 2^71034768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71034768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119610400).

71034768 is an abundant number, since it is smaller than the sum of its proper divisors (168186032).

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

71034768 is a wasteful number, since it uses less digits than its factorization.

71034768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3749 (or 3740 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 71034768 is about 8428.2126219027. The cubic root of 71034768 is about 414.1493545000.

The spelling of 71034768 in words is "seventy-one million, thirty-four thousand, seven hundred sixty-eight".