71419400 has 72 divisors (see below), whose sum is σ = 179890830. Its totient is φ = 26357760.

The previous prime is 71419391. The next prime is 71419409. The reversal of 71419400 is 491417.

It is a Cunningham number, because it is equal to 8451²-1.

It is an interprime number because it is at equal distance from previous prime (71419391) and next prime (71419409).

It can be written as a sum of positive squares in 9 ways, for example, as 17455684 + 53963716 = 4178^2 + 7346^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 71419400.

It is not an unprimeable number, because it can be changed into a prime (71419409) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 32744 + ... + 34856.

Almost surely, 2^71419400 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 71419400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89945415).

71419400 is an abundant number, since it is smaller than the sum of its proper divisors (108471430).

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

71419400 is a wasteful number, since it uses less digits than its factorization.

71419400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2155 (or 2133 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 26.

The square root of 71419400 is about 8450.9999408354. Note that the first 4 decimals coincide. The cubic root of 71419400 is about 414.8955076352.

The spelling of 71419400 in words is "seventy-one million, four hundred nineteen thousand, four hundred".