71971200 has 576 divisors, whose sum is σ = 324421200. Its totient is φ = 15482880.

The previous prime is 71971189. The next prime is 71971201. The reversal of 71971200 is 217917.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71971201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4233592 + ... + 4233608.

Almost surely, 2^71971200 is an apocalyptic number.

71971200 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 71971200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162210600).

71971200 is an abundant number, since it is smaller than the sum of its proper divisors (252450000).

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

71971200 is a wasteful number, since it uses less digits than its factorization.

71971200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 882, while the sum is 27.

The square root of 71971200 is about 8483.5841482241. The cubic root of 71971200 is about 415.9612883109.

The spelling of 71971200 in words is "seventy-one million, nine hundred seventy-one thousand, two hundred".