71424000 has 288 divisors, whose sum is σ = 265749120. Its totient is φ = 18432000.

The previous prime is 71423999. The next prime is 71424037. The reversal of 71424000 is 42417.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2303985 + ... + 2304015.

It is an arithmetic number, because the mean of its divisors is an integer number (922740).

Almost surely, 2^71424000 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 71424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132874560).

71424000 is an abundant number, since it is smaller than the sum of its proper divisors (194325120).

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

71424000 is a wasteful number, since it uses less digits than its factorization.

71424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 71424000 is about 8451.2720935963. The cubic root of 71424000 is about 414.9044150113.

Adding to 71424000 its reverse (42417), we get a palindrome (71466417).

The spelling of 71424000 in words is "seventy-one million, four hundred twenty-four thousand".