71359992 has 72 divisors (see below), whose sum is σ = 212459520. Its totient is φ = 21621600.

The previous prime is 71359963. The next prime is 71359993. The reversal of 71359992 is 29995317.

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 not an unprimeable number, because it can be changed into a prime (71359993) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4617 + ... + 12807.

Almost surely, 2^71359992 is an apocalyptic number.

71359992 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 71359992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106229760).

71359992 is an abundant number, since it is smaller than the sum of its proper divisors (141099528).

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

71359992 is a wasteful number, since it uses less digits than its factorization.

71359992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8225 (or 8207 counting only the distinct ones).

The product of its digits is 153090, while the sum is 45.

The square root of 71359992 is about 8447.4843592634. The cubic root of 71359992 is about 414.7804364280.

It can be divided in two parts, 71 and 359992, that added together give a palindrome (360063).

The spelling of 71359992 in words is "seventy-one million, three hundred fifty-nine thousand, nine hundred ninety-two".