71124912 has 160 divisors (see below), whose sum is σ = 217128960. Its totient is φ = 22256640.

The previous prime is 71124883. The next prime is 71124917. The reversal of 71124912 is 21942117.

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 (71124917) 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 31 ways as a sum of consecutive naturals, for example, 629368 + ... + 629480.

It is an arithmetic number, because the mean of its divisors is an integer number (1357056).

Almost surely, 2^71124912 is an apocalyptic number.

71124912 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 71124912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108564480).

71124912 is an abundant number, since it is smaller than the sum of its proper divisors (146004048).

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

71124912 is a wasteful number, since it uses less digits than its factorization.

71124912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 196 counting only the distinct ones).

The product of its digits is 1008, while the sum is 27.

The square root of 71124912 is about 8433.5586794662. The cubic root of 71124912 is about 414.3244673335.

The spelling of 71124912 in words is "seventy-one million, one hundred twenty-four thousand, nine hundred twelve".