71735216530002 has 128 divisors (see below), whose sum is σ = 151342807449600. Its totient is φ = 22640652781056.

The previous prime is 71735216529971. The next prime is 71735216530009. The reversal of 71735216530002 is 20003561253717.

71735216530002 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×71735216530002² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (71735216530009) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1747956199 + ... + 1747997237.

It is an arithmetic number, because the mean of its divisors is an integer number (1182365683200).

Almost surely, 2^{71735216530002} is an apocalyptic number.

71735216530002 is an abundant number, since it is smaller than the sum of its proper divisors (79607590919598).

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

71735216530002 is a wasteful number, since it uses less digits than its factorization.

71735216530002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42080.

The product of its (nonzero) digits is 264600, while the sum is 42.

Adding to 71735216530002 its reverse (20003561253717), we get a palindrome (91738777783719).

The spelling of 71735216530002 in words is "seventy-one trillion, seven hundred thirty-five billion, two hundred sixteen million, five hundred thirty thousand, two".