71214000 has 320 divisors, whose sum is σ = 272982528. Its totient is φ = 15744000.

The previous prime is 71213999. The next prime is 71214001. The reversal of 71214000 is 41217.

It is an interprime number because it is at equal distance from previous prime (71213999) and next prime (71214001).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71214001) 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 63 ways as a sum of consecutive naturals, for example, 857959 + ... + 858041.

Almost surely, 2^71214000 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 71214000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136491264).

71214000 is an abundant number, since it is smaller than the sum of its proper divisors (201768528).

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

71214000 is a wasteful number, since it uses less digits than its factorization.

71214000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 15.

The square root of 71214000 is about 8438.8387826762. The cubic root of 71214000 is about 414.4973834826.

Adding to 71214000 its reverse (41217), we get a palindrome (71255217).

The spelling of 71214000 in words is "seventy-one million, two hundred fourteen thousand".