71461008 has 80 divisors (see below), whose sum is σ = 207695040. Its totient is φ = 23521536.

The previous prime is 71461001. The next prime is 71461043. The reversal of 71461008 is 80016417.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (71461001) 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, 34860 + ... + 36852.

It is an arithmetic number, because the mean of its divisors is an integer number (2596188).

Almost surely, 2^71461008 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 71461008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103847520).

71461008 is an abundant number, since it is smaller than the sum of its proper divisors (136234032).

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

71461008 is a wasteful number, since it uses less digits than its factorization.

71461008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2093 (or 2081 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 71461008 is about 8453.4613029220. The cubic root of 71461008 is about 414.9760628764.

The spelling of 71461008 in words is "seventy-one million, four hundred sixty-one thousand, eight".