71295745536 has 160 divisors (see below), whose sum is σ = 218318839200. Its totient is φ = 22945628160.

The previous prime is 71295745531. The next prime is 71295745541. The reversal of 71295745536 is 63554759217.

It is a happy number.

71295745536 is a `hidden beast` number, since 7 + 12 + 9 + 5 + 74 + 553 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (71295745531) and next prime (71295745541).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71295745531) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 311976 + ... + 489816.

It is an arithmetic number, because the mean of its divisors is an integer number (1364492745).

Almost surely, 2^71295745536 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 71295745536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109159419600).

71295745536 is an abundant number, since it is smaller than the sum of its proper divisors (147023093664).

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

71295745536 is a wasteful number, since it uses less digits than its factorization.

71295745536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177897 (or 177875 counting only the distinct ones).

The product of its digits is 7938000, while the sum is 54.

The spelling of 71295745536 in words is "seventy-one billion, two hundred ninety-five million, seven hundred forty-five thousand, five hundred thirty-six".