71449200 has 180 divisors, whose sum is σ = 251858880. Its totient is φ = 18754560.

The previous prime is 71449193. The next prime is 71449211. The reversal of 71449200 is 294417.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 320289 + ... + 320511.

It is an arithmetic number, because the mean of its divisors is an integer number (1399216).

Almost surely, 2^71449200 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 71449200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125929440).

71449200 is an abundant number, since it is smaller than the sum of its proper divisors (180409680).

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

71449200 is a wasteful number, since it uses less digits than its factorization.

71449200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 71449200 is about 8452.7628619286. The cubic root of 71449200 is about 414.9532051558.

The spelling of 71449200 in words is "seventy-one million, four hundred forty-nine thousand, two hundred".