71089920 has 432 divisors, whose sum is σ = 293600160. Its totient is φ = 16220160.

The previous prime is 71089877. The next prime is 71089927. The reversal of 71089920 is 2998017.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71089927) 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, 4181752 + ... + 4181768.

It is an arithmetic number, because the mean of its divisors is an integer number (679630).

Almost surely, 2^71089920 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 71089920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146800080).

71089920 is an abundant number, since it is smaller than the sum of its proper divisors (222510240).

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

71089920 is a wasteful number, since it uses less digits than its factorization.

71089920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 71089920 is about 8431.4838551705. The cubic root of 71089920 is about 414.2565098036.

The spelling of 71089920 in words is "seventy-one million, eighty-nine thousand, nine hundred twenty".