71406120 has 192 divisors, whose sum is σ = 238723200. Its totient is φ = 17059840.

The previous prime is 71406109. The next prime is 71406157. The reversal of 71406120 is 2160417.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1005685 + ... + 1005755.

It is an arithmetic number, because the mean of its divisors is an integer number (1243350).

Almost surely, 2^71406120 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 71406120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119361600).

71406120 is an abundant number, since it is smaller than the sum of its proper divisors (167317080).

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

71406120 is a wasteful number, since it uses less digits than its factorization.

71406120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 71406120 is about 8450.2141984686. The cubic root of 71406120 is about 414.8697902816.

Adding to 71406120 its reverse (2160417), we get a palindrome (73566537).

The spelling of 71406120 in words is "seventy-one million, four hundred six thousand, one hundred twenty".