71630400 has 84 divisors (see below), whose sum is σ = 235023152. Its totient is φ = 19100160.

The previous prime is 71630387. The next prime is 71630431. The reversal of 71630400 is 403617.

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 11 ways as a sum of consecutive naturals, for example, 2662 + ... + 12261.

Almost surely, 2^71630400 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 71630400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117511576).

71630400 is an abundant number, since it is smaller than the sum of its proper divisors (163392752).

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

71630400 is a wasteful number, since it uses less digits than its factorization.

71630400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14948 (or 14933 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 71630400 is about 8463.4744638358. The cubic root of 71630400 is about 415.3036921604.

The spelling of 71630400 in words is "seventy-one million, six hundred thirty thousand, four hundred".