71351280 has 600 divisors, whose sum is σ = 335249376. Its totient is φ = 13685760.

The previous prime is 71351279. The next prime is 71351317. The reversal of 71351280 is 8215317.

71351280 is a `hidden beast` number, since 71 + 3 + 512 + 80 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 5488554 + ... + 5488566.

Almost surely, 2^71351280 is an apocalyptic number.

71351280 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71351280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167624688).

71351280 is an abundant number, since it is smaller than the sum of its proper divisors (263898096).

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

71351280 is a wasteful number, since it uses less digits than its factorization.

71351280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 71351280 is about 8446.9686870498. The cubic root of 71351280 is about 414.7635562214.

Adding to 71351280 its reverse (8215317), we get a palindrome (79566597).

It can be divided in two parts, 71351 and 280, that added together give a triangular number (71631 = T₃₇₈).

The spelling of 71351280 in words is "seventy-one million, three hundred fifty-one thousand, two hundred eighty".