71135072 has 48 divisors (see below), whose sum is σ = 151783632. Its totient is φ = 32686080.

The previous prime is 71135059. The next prime is 71135081. The reversal of 71135072 is 27053117.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21872 + ... + 24912.

It is an arithmetic number, because the mean of its divisors is an integer number (3162159).

Almost surely, 2^71135072 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 71135072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75891816).

71135072 is an abundant number, since it is smaller than the sum of its proper divisors (80648560).

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

71135072 is a wasteful number, since it uses less digits than its factorization.

71135072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3111 (or 3103 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 26.

The square root of 71135072 is about 8434.1610134026. The cubic root of 71135072 is about 414.3441947681.

Adding to 71135072 its reverse (27053117), we get a palindrome (98188189).

The spelling of 71135072 in words is "seventy-one million, one hundred thirty-five thousand, seventy-two".