71525520 has 180 divisors, whose sum is σ = 264350268. Its totient is φ = 17318400.

The previous prime is 71525501. The next prime is 71525539. The reversal of 71525520 is 2552517.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (71525501) and next prime (71525539).

It can be written as a sum of positive squares in 2 ways, for example, as 22581504 + 48944016 = 4752^2 + 6996^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×71525520² = 10231800022540800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 86710 + ... + 87530.

Almost surely, 2^71525520 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 71525520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132175134).

71525520 is an abundant number, since it is smaller than the sum of its proper divisors (192824748).

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

71525520 is a wasteful number, since it uses less digits than its factorization.

71525520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 862 (or 842 counting only the distinct ones).

The product of its (nonzero) digits is 3500, while the sum is 27.

The square root of 71525520 is about 8457.2761572506. The cubic root of 71525520 is about 415.1008996448.

The spelling of 71525520 in words is "seventy-one million, five hundred twenty-five thousand, five hundred twenty".