71431200 has 144 divisors (see below), whose sum is σ = 258420960. Its totient is φ = 19042560.

The previous prime is 71431189. The next prime is 71431207. The reversal of 71431200 is 213417.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (71431207) 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, 19947 + ... + 23253.

It is an arithmetic number, because the mean of its divisors is an integer number (1794590).

Almost surely, 2^71431200 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 71431200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129210480).

71431200 is an abundant number, since it is smaller than the sum of its proper divisors (186989760).

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

71431200 is a wasteful number, since it uses less digits than its factorization.

71431200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3336 (or 3317 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 71431200 is about 8451.6980542374. The cubic root of 71431200 is about 414.9183562234.

Adding to 71431200 its reverse (213417), we get a palindrome (71644617).

It can be divided in two parts, 71431 and 200, that added together give a triangular number (71631 = T₃₇₈).

The spelling of 71431200 in words is "seventy-one million, four hundred thirty-one thousand, two hundred".