71400 has 96 divisors (see below), whose sum is σ = 267840. Its totient is φ = 15360.

The previous prime is 71399. The next prime is 71411. The reversal of 71400 is 417.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4192 + ... + 4208.

It is an arithmetic number, because the mean of its divisors is an integer number (2790).

2⁷¹⁴⁰⁰ is an apocalyptic number.

71400 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133920).

71400 is an abundant number, since it is smaller than the sum of its proper divisors (196440).

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

71400 is a wasteful number, since it uses less digits than its factorization.

71400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 12.

The square root of 71400 is about 267.2077843177. The cubic root of 71400 is about 41.4857937536.

Adding to 71400 its reverse (417), we get a palindrome (71817).

The spelling of 71400 in words is "seventy-one thousand, four hundred", and thus it is an iban number.