71267414760 has 128 divisors (see below), whose sum is σ = 237986553600. Its totient is φ = 18970364160.

The previous prime is 71267414749. The next prime is 71267414761. The reversal of 71267414760 is 6741476217.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (71267414761) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 542325 + ... + 660795.

It is an arithmetic number, because the mean of its divisors is an integer number (1859269950).

Almost surely, 2^71267414760 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 71267414760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118993276800).

71267414760 is an abundant number, since it is smaller than the sum of its proper divisors (166719138840).

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

71267414760 is a wasteful number, since it uses less digits than its factorization.

71267414760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119048 (or 119038 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The spelling of 71267414760 in words is "seventy-one billion, two hundred sixty-seven million, four hundred fourteen thousand, seven hundred sixty".