71280000 has 400 divisors, whose sum is σ = 289173060. Its totient is φ = 17280000.

The previous prime is 71279993. The next prime is 71280007. The reversal of 71280000 is 8217.

It is an interprime number because it is at equal distance from previous prime (71279993) and next prime (71280007).

It is a tau number, because it is divible by the number of its divisors (400).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71280007) by changing a digit.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 6479995 + ... + 6480005.

Almost surely, 2^71280000 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 71280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144586530).

71280000 is an abundant number, since it is smaller than the sum of its proper divisors (217893060).

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

71280000 is an equidigital number, since it uses as much as digits as its factorization.

71280000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57 (or 21 counting only the distinct ones).

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

The square root of 71280000 is about 8442.7483676822. The cubic root of 71280000 is about 414.6253938007.

Adding to 71280000 its reverse (8217), we get a palindrome (71288217).

The spelling of 71280000 in words is "seventy-one million, two hundred eighty thousand".