71352768 has 56 divisors (see below), whose sum is σ = 192828672. Its totient is φ = 23275264.

The previous prime is 71352719. The next prime is 71352769. The reversal of 71352768 is 86725317.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71352769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5071 + ... + 12977.

Almost surely, 2^71352768 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 71352768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96414336).

71352768 is an abundant number, since it is smaller than the sum of its proper divisors (121475904).

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

71352768 is a wasteful number, since it uses less digits than its factorization.

71352768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7969 (or 7959 counting only the distinct ones).

The product of its digits is 70560, while the sum is 39.

The square root of 71352768 is about 8447.0567655249. The cubic root of 71352768 is about 414.7664394393.

The spelling of 71352768 in words is "seventy-one million, three hundred fifty-two thousand, seven hundred sixty-eight".