71125400 has 48 divisors (see below), whose sum is σ = 171082800. Its totient is φ = 27466880.

The previous prime is 71125393. The next prime is 71125421. The reversal of 71125400 is 452117.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 332 + ... + 11931.

It is an arithmetic number, because the mean of its divisors is an integer number (3564225).

Almost surely, 2^71125400 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 71125400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85541400).

71125400 is an abundant number, since it is smaller than the sum of its proper divisors (99957400).

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

71125400 is a wasteful number, since it uses less digits than its factorization.

71125400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12308 (or 12299 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 20.

The square root of 71125400 is about 8433.5876114498. The cubic root of 71125400 is about 414.3254149146.

Adding to 71125400 its reverse (452117), we get a palindrome (71577517).

The spelling of 71125400 in words is "seventy-one million, one hundred twenty-five thousand, four hundred".