71149120 has 112 divisors (see below), whose sum is σ = 202192128. Its totient is φ = 23316480.

The previous prime is 71149087. The next prime is 71149157. The reversal of 71149120 is 2194117.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50830 + ... + 52210.

Almost surely, 2^71149120 is an apocalyptic number.

71149120 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 71149120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101096064).

71149120 is an abundant number, since it is smaller than the sum of its proper divisors (131043008).

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

71149120 is a wasteful number, since it uses less digits than its factorization.

71149120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1428 (or 1418 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 25.

The square root of 71149120 is about 8434.9937759313. The cubic root of 71149120 is about 414.3714683476.

The spelling of 71149120 in words is "seventy-one million, one hundred forty-nine thousand, one hundred twenty".