71672760162 has 72 divisors (see below), whose sum is σ = 159796321776. Its totient is φ = 23216855904.

The previous prime is 71672760143. The next prime is 71672760167. The reversal of 71672760162 is 26106727617.

71672760162 is a `hidden beast` number, since 7 + 16 + 7 + 27 + 601 + 6 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (71672760167) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 31614553 + ... + 31616819.

It is an arithmetic number, because the mean of its divisors is an integer number (2219393358).

Almost surely, 2^71672760162 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71672760162, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79898160888).

71672760162 is an abundant number, since it is smaller than the sum of its proper divisors (88123561614).

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

71672760162 is a wasteful number, since it uses less digits than its factorization.

71672760162 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3632 (or 3592 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The spelling of 71672760162 in words is "seventy-one billion, six hundred seventy-two million, seven hundred sixty thousand, one hundred sixty-two".