71979768 has 192 divisors, whose sum is σ = 244408320. Its totient is φ = 18662400.

The previous prime is 71979767. The next prime is 71979773. The reversal of 71979768 is 86797917.

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 (71979767) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 265473 + ... + 265743.

It is an arithmetic number, because the mean of its divisors is an integer number (1272960).

Almost surely, 2^71979768 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 71979768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122204160).

71979768 is an abundant number, since it is smaller than the sum of its proper divisors (172428552).

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

71979768 is a wasteful number, since it uses less digits than its factorization.

71979768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 331 counting only the distinct ones).

The product of its digits is 1333584, while the sum is 54.

The square root of 71979768 is about 8484.0891084429. The cubic root of 71979768 is about 415.9777940563.

The spelling of 71979768 in words is "seventy-one million, nine hundred seventy-nine thousand, seven hundred sixty-eight".