71631200 has 144 divisors (see below), whose sum is σ = 194050080. Its totient is φ = 25681920.

The previous prime is 71631199. The next prime is 71631211. The reversal of 71631200 is 213617.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 312686 + ... + 312914.

It is an arithmetic number, because the mean of its divisors is an integer number (1347570).

Almost surely, 2^71631200 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 71631200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97025040).

71631200 is an abundant number, since it is smaller than the sum of its proper divisors (122418880).

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

71631200 is a wasteful number, since it uses less digits than its factorization.

71631200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 20.

The square root of 71631200 is about 8463.5217256175. The cubic root of 71631200 is about 415.3052382531.

Adding to 71631200 its reverse (213617), we get a palindrome (71844817).

The spelling of 71631200 in words is "seventy-one million, six hundred thirty-one thousand, two hundred".