71275200 has 168 divisors, whose sum is σ = 241889280. Its totient is φ = 18355200.

The previous prime is 71275199. The next prime is 71275201. The reversal of 71275200 is 257217.

It is an interprime number because it is at equal distance from previous prime (71275199) and next prime (71275201).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (71275201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 148561 + ... + 149039.

Almost surely, 2^71275200 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 71275200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120944640).

71275200 is an abundant number, since it is smaller than the sum of its proper divisors (170614080).

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

71275200 is a wasteful number, since it uses less digits than its factorization.

71275200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 535 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 980, while the sum is 24.

The square root of 71275200 is about 8442.4640952746. The cubic root of 71275200 is about 414.6160866244.

The spelling of 71275200 in words is "seventy-one million, two hundred seventy-five thousand, two hundred".