71029200 has 120 divisors (see below), whose sum is σ = 248260896. Its totient is φ = 17216000.

The previous prime is 71029187. The next prime is 71029223. The reversal of 71029200 is 292017.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10510 + ... + 15890.

Almost surely, 2^71029200 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 71029200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124130448).

71029200 is an abundant number, since it is smaller than the sum of its proper divisors (177231696).

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

71029200 is a wasteful number, since it uses less digits than its factorization.

71029200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5413 (or 5402 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 21.

The square root of 71029200 is about 8427.8822962830. The cubic root of 71029200 is about 414.1385333021.

The spelling of 71029200 in words is "seventy-one million, twenty-nine thousand, two hundred".