71525120 has 144 divisors (see below), whose sum is σ = 192054240. Its totient is φ = 25362432.

The previous prime is 71525119. The next prime is 71525131. The reversal of 71525120 is 2152517.

It is a happy 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, 413354 + ... + 413526.

It is an arithmetic number, because the mean of its divisors is an integer number (1333710).

Almost surely, 2^71525120 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 71525120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96027120).

71525120 is an abundant number, since it is smaller than the sum of its proper divisors (120529120).

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

71525120 is a wasteful number, since it uses less digits than its factorization.

71525120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 700, while the sum is 23.

The square root of 71525120 is about 8457.2525089417. The cubic root of 71525120 is about 415.1001258386.

Adding to 71525120 its reverse (2152517), we get a palindrome (73677637).

The spelling of 71525120 in words is "seventy-one million, five hundred twenty-five thousand, one hundred twenty".