71144352 has 96 divisors (see below), whose sum is σ = 210772800. Its totient is φ = 23341824.

The previous prime is 71144351. The next prime is 71144357. The reversal of 71144352 is 25344117.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (71144351) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57274 + ... + 58502.

It is an arithmetic number, because the mean of its divisors is an integer number (2195550).

Almost surely, 2^71144352 is an apocalyptic number.

71144352 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71144352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105386400).

71144352 is an abundant number, since it is smaller than the sum of its proper divisors (139628448).

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

71144352 is a wasteful number, since it uses less digits than its factorization.

71144352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1315 (or 1301 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 71144352 is about 8434.7111390966. The cubic root of 71144352 is about 414.3622118860.

Adding to 71144352 its reverse (25344117), we get a palindrome (96488469).

The spelling of 71144352 in words is "seventy-one million, one hundred forty-four thousand, three hundred fifty-two".