71272635354 has 96 divisors (see below), whose sum is σ = 168064028496. Its totient is φ = 21737963520.

The previous prime is 71272635347. The next prime is 71272635367. The reversal of 71272635354 is 45353627217.

71272635354 is a `hidden beast` number, since 7 + 1 + 2 + 7 + 2 + 635 + 3 + 5 + 4 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 48600407025 + 22672228329 = 220455^2 + 150573^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22834914 + ... + 22838034.

Almost surely, 2^71272635354 is an apocalyptic number.

71272635354 is a gapful number since it is divisible by the number (74) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 71272635354, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84032014248).

71272635354 is an abundant number, since it is smaller than the sum of its proper divisors (96791393142).

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

71272635354 is a wasteful number, since it uses less digits than its factorization.

71272635354 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5200 (or 5197 counting only the distinct ones).

The product of its digits is 1058400, while the sum is 45.

The spelling of 71272635354 in words is "seventy-one billion, two hundred seventy-two million, six hundred thirty-five thousand, three hundred fifty-four".