71306928 has 240 divisors, whose sum is σ = 255340800. Its totient is φ = 18040320.

The previous prime is 71306903. The next prime is 71306929. The reversal of 71306928 is 82960317.

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 = 71306892 and 71306901.

It is not an unprimeable number, because it can be changed into a prime (71306929) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 654138 + ... + 654246.

It is an arithmetic number, because the mean of its divisors is an integer number (1063920).

Almost surely, 2^71306928 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 71306928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127670400).

71306928 is an abundant number, since it is smaller than the sum of its proper divisors (184033872).

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

71306928 is a wasteful number, since it uses less digits than its factorization.

71306928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 71306928 is about 8444.3429584545. The cubic root of 71306928 is about 414.6775993138.

The spelling of 71306928 in words is "seventy-one million, three hundred six thousand, nine hundred twenty-eight".