71573328 has 80 divisors (see below), whose sum is σ = 210274240. Its totient is φ = 23296896.

The previous prime is 71573303. The next prime is 71573351. The reversal of 71573328 is 82337517.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 71573292 and 71573301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16650 + ... + 20502.

It is an arithmetic number, because the mean of its divisors is an integer number (2628428).

Almost surely, 2^71573328 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 71573328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105137120).

71573328 is an abundant number, since it is smaller than the sum of its proper divisors (138700912).

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

71573328 is a wasteful number, since it uses less digits than its factorization.

71573328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3913 (or 3901 counting only the distinct ones).

The product of its digits is 35280, while the sum is 36.

The square root of 71573328 is about 8460.1021270431. The cubic root of 71573328 is about 415.1933641894.

The spelling of 71573328 in words is "seventy-one million, five hundred seventy-three thousand, three hundred twenty-eight".