71487200 has 72 divisors (see below), whose sum is σ = 175801248. Its totient is φ = 28385280.

The previous prime is 71487167. The next prime is 71487223. The reversal of 71487200 is 278417.

It is a super-2 number, since 2×71487200² = 10220839527680000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 154169 + ... + 154631.

It is an arithmetic number, because the mean of its divisors is an integer number (2441684).

Almost surely, 2^71487200 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 71487200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87900624).

71487200 is an abundant number, since it is smaller than the sum of its proper divisors (104314048).

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

71487200 is a wasteful number, since it uses less digits than its factorization.

71487200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 29.

The square root of 71487200 is about 8455.0103488996. The cubic root of 71487200 is about 415.0267559079.

The spelling of 71487200 in words is "seventy-one million, four hundred eighty-seven thousand, two hundred".