71711136 has 192 divisors, whose sum is σ = 243855360. Its totient is φ = 20079360.

The previous prime is 71711131. The next prime is 71711147. The reversal of 71711136 is 63111717.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (71711131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 429325 + ... + 429491.

It is an arithmetic number, because the mean of its divisors is an integer number (1270080).

Almost surely, 2^71711136 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 71711136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121927680).

71711136 is an abundant number, since it is smaller than the sum of its proper divisors (172144224).

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

71711136 is a wasteful number, since it uses less digits than its factorization.

71711136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 250 counting only the distinct ones).

The product of its digits is 882, while the sum is 27.

The square root of 71711136 is about 8468.2427929294. The cubic root of 71711136 is about 415.4596658315.

The spelling of 71711136 in words is "seventy-one million, seven hundred eleven thousand, one hundred thirty-six".