71032320 has 120 divisors (see below), whose sum is σ = 246084696. Its totient is φ = 18935808.

The previous prime is 71032309. The next prime is 71032321. The reversal of 71032320 is 2323017.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 71032293 and 71032302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71032321) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21499 + ... + 24581.

Almost surely, 2^71032320 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 71032320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123042348).

71032320 is an abundant number, since it is smaller than the sum of its proper divisors (175052376).

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

71032320 is a wasteful number, since it uses less digits than its factorization.

71032320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3112 (or 3093 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 71032320 is about 8428.0673941302. The cubic root of 71032320 is about 414.1445969740.

Adding to 71032320 its reverse (2323017), we get a palindrome (73355337).

The spelling of 71032320 in words is "seventy-one million, thirty-two thousand, three hundred twenty".