71438120 has 128 divisors (see below), whose sum is σ = 183859200. Its totient is φ = 24800256.

The previous prime is 71438071. The next prime is 71438149. The reversal of 71438120 is 2183417.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 71438120.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 904241 + ... + 904319.

It is an arithmetic number, because the mean of its divisors is an integer number (1436400).

Almost surely, 2^71438120 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 71438120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91929600).

71438120 is an abundant number, since it is smaller than the sum of its proper divisors (112421080).

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

71438120 is a wasteful number, since it uses less digits than its factorization.

71438120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 71438120 is about 8452.1074295113. The cubic root of 71438120 is about 414.9317543945.

The spelling of 71438120 in words is "seventy-one million, four hundred thirty-eight thousand, one hundred twenty".