71768928 has 288 divisors, whose sum is σ = 255104640. Its totient is φ = 17418240.

The previous prime is 71768927. The next prime is 71768929. The reversal of 71768928 is 82986717.

It is an interprime number because it is at equal distance from previous prime (71768927) and next prime (71768929).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71768923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 983100 + ... + 983172.

It is an arithmetic number, because the mean of its divisors is an integer number (885780).

Almost surely, 2^71768928 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 71768928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127552320).

71768928 is an abundant number, since it is smaller than the sum of its proper divisors (183335712).

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

71768928 is a wasteful number, since it uses less digits than its factorization.

71768928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 115 counting only the distinct ones).

The product of its digits is 338688, while the sum is 48.

The square root of 71768928 is about 8471.6543838851. The cubic root of 71768928 is about 415.5712421700.

It can be divided in two parts, 717689 and 28, that added together give a palindrome (717717).

The spelling of 71768928 in words is "seventy-one million, seven hundred sixty-eight thousand, nine hundred twenty-eight".