71208000 has 336 divisors, whose sum is σ = 271979136. Its totient is φ = 17740800.

The previous prime is 71207999. The next prime is 71208001. The reversal of 71208000 is 80217.

It is an interprime number because it is at equal distance from previous prime (71207999) and next prime (71208001).

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

It is not an unprimeable number, because it can be changed into a prime (71208001) 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, 1655979 + ... + 1656021.

Almost surely, 2^71208000 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 71208000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135989568).

71208000 is an abundant number, since it is smaller than the sum of its proper divisors (200771136).

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

71208000 is a wasteful number, since it uses less digits than its factorization.

71208000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 71208000 is about 8438.4832760396. The cubic root of 71208000 is about 414.4857422597.

Adding to 71208000 its reverse (80217), we get a palindrome (71288217).

The spelling of 71208000 in words is "seventy-one million, two hundred eight thousand".