71878968 has 128 divisors (see below), whose sum is σ = 230515200. Its totient is φ = 20328192.

The previous prime is 71878943. The next prime is 71878969. The reversal of 71878968 is 86987817.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71878969) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 206971 + ... + 207317.

It is an arithmetic number, because the mean of its divisors is an integer number (1800900).

Almost surely, 2^71878968 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 71878968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115257600).

71878968 is an abundant number, since it is smaller than the sum of its proper divisors (158636232).

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

71878968 is a wasteful number, since it uses less digits than its factorization.

71878968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506 (or 496 counting only the distinct ones).

The product of its digits is 1354752, while the sum is 54.

The square root of 71878968 is about 8478.1464955496. The cubic root of 71878968 is about 415.7835258096.

The spelling of 71878968 in words is "seventy-one million, eight hundred seventy-eight thousand, nine hundred sixty-eight".