71857128 has 160 divisors (see below), whose sum is σ = 221839200. Its totient is φ = 19361664.

The previous prime is 71857127. The next prime is 71857139. The reversal of 71857128 is 82175817.

It is not an unprimeable number, because it can be changed into a prime (71857127) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1671075 + ... + 1671117.

It is an arithmetic number, because the mean of its divisors is an integer number (1386495).

Almost surely, 2^71857128 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 71857128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110919600).

71857128 is an abundant number, since it is smaller than the sum of its proper divisors (149982072).

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

71857128 is a wasteful number, since it uses less digits than its factorization.

71857128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 84 counting only the distinct ones).

The product of its digits is 31360, while the sum is 39.

The square root of 71857128 is about 8476.8583803199. The cubic root of 71857128 is about 415.7414104207.

The spelling of 71857128 in words is "seventy-one million, eight hundred fifty-seven thousand, one hundred twenty-eight".