71261580 has 96 divisors (see below), whose sum is σ = 217211904. Its totient is φ = 17351424.

The previous prime is 71261579. The next prime is 71261587. The reversal of 71261580 is 8516217.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (71261587) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79897 + ... + 80783.

It is an arithmetic number, because the mean of its divisors is an integer number (2262624).

Almost surely, 2^71261580 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 71261580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108605952).

71261580 is an abundant number, since it is smaller than the sum of its proper divisors (145950324).

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

71261580 is a wasteful number, since it uses less digits than its factorization.

71261580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1015 (or 1013 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 30.

The square root of 71261580 is about 8441.6574201990. The cubic root of 71261580 is about 414.5896752367.

Adding to 71261580 its reverse (8516217), we get a palindrome (79777797).

The spelling of 71261580 in words is "seventy-one million, two hundred sixty-one thousand, five hundred eighty".