71190000 has 300 divisors, whose sum is σ = 287045616. Its totient is φ = 16128000.

The previous prime is 71189959. The next prime is 71190023. The reversal of 71190000 is 9117.

It is a tau number, because it is divible by the number of its divisors (300).

It is a super-2 number, since 2×71190000² = 10136032200000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 629944 + ... + 630056.

Almost surely, 2^71190000 is an apocalyptic number.

71190000 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 71190000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143522808).

71190000 is an abundant number, since it is smaller than the sum of its proper divisors (215855616).

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

71190000 is a wasteful number, since it uses less digits than its factorization.

71190000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 63, while the sum is 18.

The square root of 71190000 is about 8437.4166662551. The cubic root of 71190000 is about 414.4508146669.

Adding to 71190000 its reverse (9117), we get a palindrome (71199117).

The spelling of 71190000 in words is "seventy-one million, one hundred ninety thousand".