71677872 has 100 divisors (see below), whose sum is σ = 237123216. Its totient is φ = 20476800.

The previous prime is 71677849. The next prime is 71677877. The reversal of 71677872 is 27877617.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (71677877) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5122 + ... + 13022.

Almost surely, 2^71677872 is an apocalyptic number.

71677872 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71677872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118561608).

71677872 is an abundant number, since it is smaller than the sum of its proper divisors (165445344).

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

71677872 is a wasteful number, since it uses less digits than its factorization.

71677872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7928 (or 7913 counting only the distinct ones).

The product of its digits is 230496, while the sum is 45.

The square root of 71677872 is about 8466.2785212867. The cubic root of 71677872 is about 415.3954173829.

The spelling of 71677872 in words is "seventy-one million, six hundred seventy-seven thousand, eight hundred seventy-two".