71667200 has 120 divisors (see below), whose sum is σ = 194083560. Its totient is φ = 26009600.

The previous prime is 71667191. The next prime is 71667217. The reversal of 71667200 is 276617.

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, 140546 + ... + 141054.

It is an arithmetic number, because the mean of its divisors is an integer number (1617363).

Almost surely, 2^71667200 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 71667200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97041780).

71667200 is an abundant number, since it is smaller than the sum of its proper divisors (122416360).

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

71667200 is a wasteful number, since it uses less digits than its factorization.

71667200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 548 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 29.

The square root of 71667200 is about 8465.6482327108. The cubic root of 71667200 is about 415.3748005138.

The spelling of 71667200 in words is "seventy-one million, six hundred sixty-seven thousand, two hundred".