71208720 has 320 divisors, whose sum is σ = 278196480. Its totient is φ = 16796160.

The previous prime is 71208707. The next prime is 71208721. The reversal of 71208720 is 2780217.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (71208721) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1924542 + ... + 1924578.

It is an arithmetic number, because the mean of its divisors is an integer number (869364).

Almost surely, 2^71208720 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 71208720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139098240).

71208720 is an abundant number, since it is smaller than the sum of its proper divisors (206987760).

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

71208720 is a wasteful number, since it uses less digits than its factorization.

71208720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 71208720 is about 8438.5259376268. The cubic root of 71208720 is about 414.4871392410.

Adding to 71208720 its reverse (2780217), we get a palindrome (73988937).

The spelling of 71208720 in words is "seventy-one million, two hundred eight thousand, seven hundred twenty".