71352576 has 216 divisors, whose sum is σ = 226180864. Its totient is φ = 22394880.

The previous prime is 71352571. The next prime is 71352577. The reversal of 71352576 is 67525317.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 71352576.

It is not an unprimeable number, because it can be changed into a prime (71352571) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1928430 + ... + 1928466.

Almost surely, 2^71352576 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 71352576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113090432).

71352576 is an abundant number, since it is smaller than the sum of its proper divisors (154828288).

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

71352576 is an equidigital number, since it uses as much as digits as its factorization.

71352576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 73 counting only the distinct ones).

The product of its digits is 44100, while the sum is 36.

The square root of 71352576 is about 8447.0454006120. The cubic root of 71352576 is about 414.7660674135.

The spelling of 71352576 in words is "seventy-one million, three hundred fifty-two thousand, five hundred seventy-six".