71401728 has 72 divisors (see below), whose sum is σ = 191318400. Its totient is φ = 23640064.

The previous prime is 71401723. The next prime is 71401747. The reversal of 71401728 is 82710417.

It is a super-2 number, since 2×71401728² = 10196413522771968, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 71401695 and 71401704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71401723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 183358 + ... + 183746.

It is an arithmetic number, because the mean of its divisors is an integer number (2657200).

Almost surely, 2^71401728 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 71401728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95659200).

71401728 is an abundant number, since it is smaller than the sum of its proper divisors (119916672).

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

71401728 is a wasteful number, since it uses less digits than its factorization.

71401728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 647 (or 633 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 30.

The square root of 71401728 is about 8449.9543194032. The cubic root of 71401728 is about 414.8612842625.

The spelling of 71401728 in words is "seventy-one million, four hundred one thousand, seven hundred twenty-eight".