71611200 has 126 divisors (see below), whose sum is σ = 254574294. Its totient is φ = 19092480.

The previous prime is 71611187. The next prime is 71611201. The reversal of 71611200 is 211617.

It can be written as a sum of positive squares in 3 ways, for example, as 7354944 + 64256256 = 2712^2 + 8016^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71611201) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 11914 + ... + 16886.

Almost surely, 2^71611200 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 71611200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127287147).

71611200 is an abundant number, since it is smaller than the sum of its proper divisors (182963094).

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

71611200 is a wasteful number, since it uses less digits than its factorization.

71611200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5001 (or 4983 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The square root of 71611200 is about 8462.3401018867. The cubic root of 71611200 is about 415.2665824815.

Adding to 71611200 its reverse (211617), we get a palindrome (71822817).

The spelling of 71611200 in words is "seventy-one million, six hundred eleven thousand, two hundred".