71672501760 has 160 divisors (see below), whose sum is σ = 229618160640. Its totient is φ = 19071787008.

The previous prime is 71672501743. The next prime is 71672501777. The reversal of 71672501760 is 6710527617.

It is an interprime number because it is at equal distance from previous prime (71672501743) and next prime (71672501777).

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3668979 + ... + 3688461.

It is an arithmetic number, because the mean of its divisors is an integer number (1435113504).

Almost surely, 2^71672501760 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 71672501760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114809080320).

71672501760 is an abundant number, since it is smaller than the sum of its proper divisors (157945658880).

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

71672501760 is a wasteful number, since it uses less digits than its factorization.

71672501760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19988 (or 19972 counting only the distinct ones).

The product of its (nonzero) digits is 123480, while the sum is 42.

The spelling of 71672501760 in words is "seventy-one billion, six hundred seventy-two million, five hundred one thousand, seven hundred sixty".