71529120 has 144 divisors (see below), whose sum is σ = 262938312. Its totient is φ = 17602560.

The previous prime is 71529083. The next prime is 71529169. The reversal of 71529120 is 2192517.

It can be written as a sum of positive squares in 4 ways, for example, as 59166864 + 12362256 = 7692^2 + 3516^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16810 + ... + 20630.

Almost surely, 2^71529120 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 71529120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131469156).

71529120 is an abundant number, since it is smaller than the sum of its proper divisors (191409192).

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

71529120 is a wasteful number, since it uses less digits than its factorization.

71529120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3855 (or 3844 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 71529120 is about 8457.4889890558. The cubic root of 71529120 is about 415.1078637706.

The spelling of 71529120 in words is "seventy-one million, five hundred twenty-nine thousand, one hundred twenty".