71964768 has 48 divisors (see below), whose sum is σ = 189907200. Its totient is φ = 23861376.

The previous prime is 71964749. The next prime is 71964773. The reversal of 71964768 is 86746917.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17221 + ... + 20987.

It is an arithmetic number, because the mean of its divisors is an integer number (3956400).

Almost surely, 2^71964768 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 71964768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94953600).

71964768 is an abundant number, since it is smaller than the sum of its proper divisors (117942432).

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

71964768 is a wasteful number, since it uses less digits than its factorization.

71964768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3979 (or 3971 counting only the distinct ones).

The product of its digits is 508032, while the sum is 48.

The square root of 71964768 is about 8483.2050546948. The cubic root of 71964768 is about 415.9488965824.

The spelling of 71964768 in words is "seventy-one million, nine hundred sixty-four thousand, seven hundred sixty-eight".