71513520 has 80 divisors (see below), whose sum is σ = 238755552. Its totient is φ = 17602560.

The previous prime is 71513503. The next prime is 71513521. The reversal of 71513520 is 2531517.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×71513520² = 10228367085580800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (71513521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8341 + ... + 14580.

Almost surely, 2^71513520 is an apocalyptic number.

It is an amenable number.

71513520 is an abundant number, since it is smaller than the sum of its proper divisors (167242032).

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

71513520 is a wasteful number, since it uses less digits than its factorization.

71513520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22950 (or 22944 counting only the distinct ones).

The product of its (nonzero) digits is 1050, while the sum is 24.

The square root of 71513520 is about 8456.5666792144. The cubic root of 71513520 is about 415.0776842041.

It can be divided in two parts, 71 and 513520, that added together give a triangular number (513591 = T₁₀₁₃).

The spelling of 71513520 in words is "seventy-one million, five hundred thirteen thousand, five hundred twenty".