71038720 has 144 divisors (see below), whose sum is σ = 188375040. Its totient is φ = 25546752.

The previous prime is 71038703. The next prime is 71038727. The reversal of 71038720 is 2783017.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71038727) 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 15 ways as a sum of consecutive naturals, for example, 559297 + ... + 559423.

It is an arithmetic number, because the mean of its divisors is an integer number (1308160).

Almost surely, 2^71038720 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 71038720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94187520).

71038720 is an abundant number, since it is smaller than the sum of its proper divisors (117336320).

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

71038720 is a wasteful number, since it uses less digits than its factorization.

71038720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 28.

The square root of 71038720 is about 8428.4470693005. The cubic root of 71038720 is about 414.1570347198.

The spelling of 71038720 in words is "seventy-one million, thirty-eight thousand, seven hundred twenty".