71380992 has 104 divisors (see below), whose sum is σ = 196715056. Its totient is φ = 23003136.

The previous prime is 71380987. The next prime is 71380993. The reversal of 71380992 is 29908317.

It is a self number, because there is not a number n which added to its sum of digits gives 71380992.

It is not an unprimeable number, because it can be changed into a prime (71380993) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 454578 + ... + 454734.

Almost surely, 2^71380992 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 71380992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98357528).

71380992 is an abundant number, since it is smaller than the sum of its proper divisors (125334064).

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

71380992 is a wasteful number, since it uses less digits than its factorization.

71380992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 39.

The square root of 71380992 is about 8448.7272414252. The cubic root of 71380992 is about 414.8211199848.

The spelling of 71380992 in words is "seventy-one million, three hundred eighty thousand, nine hundred ninety-two".