71215200 has 360 divisors, whose sum is σ = 298699632. Its totient is φ = 16174080.

The previous prime is 71215187. The next prime is 71215217. The reversal of 71215200 is 251217.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×71215200² = 10143209422080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 453522 + ... + 453678.

Almost surely, 2^71215200 is an apocalyptic number.

71215200 is a gapful number since it is divisible by the number (70) 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 71215200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149349816).

71215200 is an abundant number, since it is smaller than the sum of its proper divisors (227484432).

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

71215200 is a wasteful number, since it uses less digits than its factorization.

71215200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 71215200 is about 8438.9098822064. The cubic root of 71215200 is about 414.4997116487.

Adding to 71215200 its reverse (251217), we get a palindrome (71466417).

It can be divided in two parts, 7121 and 5200, that added together give a palindrome (12321).

The spelling of 71215200 in words is "seventy-one million, two hundred fifteen thousand, two hundred".