71364000 has 192 divisors, whose sum is σ = 246879360. Its totient is φ = 17971200.

The previous prime is 71363993. The next prime is 71364031. The reversal of 71364000 is 46317.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 227844 + ... + 228156.

It is an arithmetic number, because the mean of its divisors is an integer number (1285830).

Almost surely, 2^71364000 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 71364000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123439680).

71364000 is an abundant number, since it is smaller than the sum of its proper divisors (175515360).

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

71364000 is a wasteful number, since it uses less digits than its factorization.

71364000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 342 counting only the distinct ones).

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

The square root of 71364000 is about 8447.7215863214. The cubic root of 71364000 is about 414.7882017916.

The spelling of 71364000 in words is "seventy-one million, three hundred sixty-four thousand".