71270400 has 192 divisors, whose sum is σ = 243790200. Its totient is φ = 18350080.

The previous prime is 71270369. The next prime is 71270401. The reversal of 71270400 is 407217.

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71270401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2457586 + ... + 2457614.

Almost surely, 2^71270400 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 71270400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121895100).

71270400 is an abundant number, since it is smaller than the sum of its proper divisors (172519800).

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

71270400 is an equidigital number, since it uses as much as digits as its factorization.

71270400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 392, while the sum is 21.

The square root of 71270400 is about 8442.1798132947. The cubic root of 71270400 is about 414.6067790303.

Adding to 71270400 its reverse (407217), we get a palindrome (71677617).

The spelling of 71270400 in words is "seventy-one million, two hundred seventy thousand, four hundred".