71468992 has 56 divisors (see below), whose sum is σ = 167700960. Its totient is φ = 29568000.

The previous prime is 71468959. The next prime is 71469007. The reversal of 71468992 is 29986417.

It is a tau number, because it is divible by the number of its divisors (56).

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, 10242 + ... + 15742.

It is an arithmetic number, because the mean of its divisors is an integer number (2994660).

Almost surely, 2^71468992 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 71468992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83850480).

71468992 is an abundant number, since it is smaller than the sum of its proper divisors (96231968).

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

71468992 is a wasteful number, since it uses less digits than its factorization.

71468992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5549 (or 5539 counting only the distinct ones).

The product of its digits is 217728, while the sum is 46.

The square root of 71468992 is about 8453.9335223315. The cubic root of 71468992 is about 414.9915167376.

The spelling of 71468992 in words is "seventy-one million, four hundred sixty-eight thousand, nine hundred ninety-two".