71541120 has 128 divisors (see below), whose sum is σ = 260663040. Its totient is φ = 16349184.

The previous prime is 71541079. The next prime is 71541139. The reversal of 71541120 is 2114517.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10779 + ... + 16101.

It is an arithmetic number, because the mean of its divisors is an integer number (2036430).

Almost surely, 2^71541120 is an apocalyptic number.

71541120 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 71541120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130331520).

71541120 is an abundant number, since it is smaller than the sum of its proper divisors (189121920).

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

71541120 is a wasteful number, since it uses less digits than its factorization.

71541120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5352 (or 5340 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 21.

The square root of 71541120 is about 8458.1983897282. The cubic root of 71541120 is about 415.1310758360.

Adding to 71541120 its reverse (2114517), we get a palindrome (73655637).

The spelling of 71541120 in words is "seventy-one million, five hundred forty-one thousand, one hundred twenty".