71425200 has 240 divisors, whose sum is σ = 285624576. Its totient is φ = 14822400.

The previous prime is 71425187. The next prime is 71425201. The reversal of 71425200 is 252417.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (71425201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 92014 + ... + 92786.

Almost surely, 2^71425200 is an apocalyptic number.

71425200 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71425200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142812288).

71425200 is an abundant number, since it is smaller than the sum of its proper divisors (214199376).

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

71425200 is a wasteful number, since it uses less digits than its factorization.

71425200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 812 (or 801 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 71425200 is about 8451.3430885274. The cubic root of 71425200 is about 414.9067386117.

Adding to 71425200 its reverse (252417), we get a palindrome (71677617).

The spelling of 71425200 in words is "seventy-one million, four hundred twenty-five thousand, two hundred".