71129072 has 40 divisors (see below), whose sum is σ = 159513600. Its totient is φ = 30094272.

The previous prime is 71128997. The next prime is 71129077. The reversal of 71129072 is 27092117.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71129077) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4829 + ... + 12867.

It is an arithmetic number, because the mean of its divisors is an integer number (3987840).

Almost surely, 2^71129072 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 71129072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79756800).

71129072 is an abundant number, since it is smaller than the sum of its proper divisors (88384528).

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

71129072 is a wasteful number, since it uses less digits than its factorization.

71129072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8133 (or 8127 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 29.

The square root of 71129072 is about 8433.8053095859. The cubic root of 71129072 is about 414.3325449354.

The spelling of 71129072 in words is "seventy-one million, one hundred twenty-nine thousand, seventy-two".