71191400 has 96 divisors (see below), whose sum is σ = 190850880. Its totient is φ = 24192000.

The previous prime is 71191387. The next prime is 71191409. The reversal of 71191400 is 419117.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71191409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 295280 + ... + 295520.

It is an arithmetic number, because the mean of its divisors is an integer number (1988030).

Almost surely, 2^71191400 is an apocalyptic number.

71191400 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 71191400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95425440).

71191400 is an abundant number, since it is smaller than the sum of its proper divisors (119659480).

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

71191400 is a wasteful number, since it uses less digits than its factorization.

71191400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 23.

The square root of 71191400 is about 8437.4996296296. The cubic root of 71191400 is about 414.4535314685.

The spelling of 71191400 in words is "seventy-one million, one hundred ninety-one thousand, four hundred".