71314272 has 72 divisors (see below), whose sum is σ = 204009624. Its totient is φ = 23629824.

The previous prime is 71314259. The next prime is 71314289. The reversal of 71314272 is 27241317.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54943 + ... + 56225.

It is an arithmetic number, because the mean of its divisors is an integer number (2833467).

Almost surely, 2^71314272 is an apocalyptic number.

71314272 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 71314272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102004812).

71314272 is an abundant number, since it is smaller than the sum of its proper divisors (132695352).

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

71314272 is a wasteful number, since it uses less digits than its factorization.

71314272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1492 (or 1481 counting only the distinct ones).

The product of its digits is 2352, while the sum is 27.

The square root of 71314272 is about 8444.7777945900. Note that the first 4 decimals coincide. The cubic root of 71314272 is about 414.6918349000.

Adding to 71314272 its reverse (27241317), we get a palindrome (98555589).

The spelling of 71314272 in words is "seventy-one million, three hundred fourteen thousand, two hundred seventy-two".