71122400 has 36 divisors (see below), whose sum is σ = 173629512. Its totient is φ = 28448640.

The previous prime is 71122393. The next prime is 71122411. The reversal of 71122400 is 422117.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 43652 + ... + 45251.

It is an arithmetic number, because the mean of its divisors is an integer number (4823042).

Almost surely, 2^71122400 is an apocalyptic number.

It is an amenable number.

71122400 is an abundant number, since it is smaller than the sum of its proper divisors (102507112).

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

71122400 is a wasteful number, since it uses less digits than its factorization.

71122400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88923 (or 88910 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 17.

The square root of 71122400 is about 8433.4097493244. The cubic root of 71122400 is about 414.3195895521.

Adding to 71122400 its reverse (422117), we get a palindrome (71544517).

The spelling of 71122400 in words is "seventy-one million, one hundred twenty-two thousand, four hundred".